{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "using Spectra\n",
    "using PyPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x33a1c0f50>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x33a346410>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the x axis\n",
    "x = collect(0:0.1:150)\n",
    "\n",
    "# a scale factor that you can change\n",
    "scale = 0.1\n",
    "\n",
    "# a fake signal: perfect y\n",
    "y_tot, y_peaks = gaussiennes([10;20.],[40.;60],[5.;15],x)\n",
    "bkg, ~ = gaussiennes([10.],[50.],[50.],x)\n",
    "y_perfect = scale.*(y_tot+bkg)\n",
    "\n",
    "# we add noise: observed y\n",
    "y = scale.*(y_tot+bkg + randn(size(y_tot,1)))\n",
    "\n",
    "roi = [0 20.; 100. 150]\n",
    "\n",
    "interest_index = find(roi[1,1] .<= x[:,1] .<= roi[1,2])\n",
    "if size(roi)[1] > 1\n",
    "    for i = 2:size(roi)[1]\n",
    "        interest_index = vcat(interest_index,  find(roi[i,1] .<= x[:,1] .<= roi[i,2]))\n",
    "    end\n",
    "end\n",
    "\n",
    "x_bas = x[interest_index]\n",
    "y_bas = y[interest_index]\n",
    "\n",
    "figure()\n",
    "plot(x,y,\"k-\",label=\"Noisy observed signal\")\n",
    "plot(x_bas,y_bas,\"r.\",label=\"ROI\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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F8fjxY3zzzTd48OCBxrmHyHDS0tLw9ddf4+LFi7hy5QpmzJiBgwcPYtCgQeYurdg4qJqIFDQFIuXtubm5+OuvvxTvnz59qtO55XI5jh8/DuBlr1LBJ3CIpKhQoQLKlSuH77//Ht7e3uYup8STyWT4/fffMXfuXGRkZKBWrVrYvn07OnToYO7Sio2BiIgUND3yqhyIFixYoLJUQP7svQBUglJByrfJ2ENEhsJRH6bl6uqKgwcPmrsMo+AtMyIbl5WVhfj4eAC69RAph6GCXnvtNY37lEOQugn4iIjMiYGIyMaFhYUhKCgIsbGxKsFH+Tfv6dOnF/s6yiGIgYiILI1VBKIVK1agQYMG8PT0hKenJ0JCQrB3716tx/z888+oXbs2XFxcUL9+ffz+++8mqpbIuuQvE7BmzRqVQKStt0cf+XO3KC+3UHBlcSIic7OKQFSpUiUsWLAAp0+fxqlTp9CuXTu89dZbuHjxotr2x48fR9++fTF06FCcPXsW4eHhCA8Px4ULF0xcOZH1yMnJUQlEBWcTlip/Yj7lXqFDhw4Z5NxERIZiFYGoW7dueOONN1CjRg3UrFkTc+fOhbu7u+I324KWLFmCzp074+OPP0adOnUwe/ZsNG7cGN98842JKyeyHgUDkaEpB6KIiAizrM1FRKSJVQQiZbm5udi8eTNSU1MREhKitk1sbGyhRwA7deqE2NhYjefNzMxEcnKyyovIlhg7EBW8Tebh4YFnz54Z7XpERPqwmkB0/vx5uLu7w9nZGSNGjMDOnTvxyiuvqG374MED+Pj4qGzz8fHBgwcPNJ5//vz58PLyUrzyF5wjshWm7CHKFxMTY7TrERHpw2oCUa1atXDu3DmcPHkSI0eOxKBBg3Dp0iWDnX/q1KmQy+WKV2JiosHOTWQNsrOzjRaIDhw4oDYQcXB1yTJ48GDIZDLIZDI4OjqiSpUqmDRpUqFFgPfs2YOwsDB4eHjAzc0NzZo1Q1RUlEqbO3fuQCaT4dy5cyb8E5Ats5pA5OTkhOrVq6NJkyaYP38+goODsWTJErVtfX198fDhQ5VtDx8+hK+vr8bzOzs7K55iy38R2RJj9hC9/vrrasMPA1HJ07lzZyQlJeHWrVuIjIzEd999hxkzZij2L1u2DG+99RZCQ0Nx8uRJ/Pvvv+jTpw9GjBihccV7IlOwmkBUUF5eHjIzM9XuCwkJKfQUy4EDBzSOOSIi498yu3btmtprkhHdvQtER7/8r4k4OzvD19cXAQEBCA8PR4cOHXDgwAEAQGJiIiZMmIBx48Zh3rx5eOWVV1C9enVMmDABX375JRYtWoSTJ0+arFYiZVYRiKZOnYo///wTd+7cwfnz5zF16lTExMSgf//+AICBAwdi6tSpivZjx47Fvn37sGjRIly5cgUzZ87EqVOnMHr0aHP9EYgsXk5OjsalOwzh3XffLbQt/zbaH3/8gT179hjt2jZp9WqgcmWgXbuX/1292uQlXLhwAcePH4eTkxMAYNu2bcjOzlbbEzR8+HC4u7tj06ZNpi6TCICVrGX26NEjDBw4EElJSfDy8kKDBg2wf/9+dOzYEQCQkJAAO7v/ZbuWLVti48aNmDZtGj755BPUqFEDu3btQr169cz1RyCyCE+fPkXXrl3x3nvvYdSoUSr7ZDKZUXuI1MnOzsapU6fQqVMnRX1coNMA7t4F/u//gPzlUvLygOHDgU6dgEqVjHrpPXv2wN3dHTk5OcjMzISdnZ1iypNr167By8sLfn5+hY5zcnJC1apV1fYkEpmCVQSi1UX8ZqPuSZWePXuiZ8+eRqqIyDrNmTMHJ06cwIkTJwoFosOHD5t80dWcnBw0a9ZM8f7FixcMRIZw/fr/wlC+3Fzgxg2jB6K2bdtixYoVSE1NRWRkJBwcHNT2DhJZGqu4ZUZEhlFwfi3lJ7/MsQJ9wTFEyj29VAw1agAF/y7t7YHq1Y1+6VKlSqF69eoIDg7GmjVrcPLkScUvtTVr1oRcLsf9+/cLHZeVlYWbN2+iZs2aRq+RSB3+9CGyIQUffTf1LbKCuMirkVSqBHz//csQBLz873ffGb13qCA7Ozt88sknmDZtGtLT0/Huu+/C0dERixYtKtR25cqVSE1NRd++fU1aI1E+BiIiG6LcC5SWlmawQPT+++9LOq5gDxEDkgENHQrcufPyKbM7d16+N4OePXvC3t4ey5cvR2BgIL744gssXrwYn376Ka5cuYKbN2/i66+/xqRJkzBhwgQ0b97cLHUSMRAR2RDlwFGpUiWDPfae/xSRvgoGMj6Gb2CVKgFt2pi8Z0iZg4MDRo8ejS+++AKpqakYN24cdu7ciaNHj6Jp06aoV68eNm7ciBUrVuCrr74yW51EVjGomogMQ7mH6NmzZ0hLSzP4efVRMAAxEFm3grNN55syZQqmTJmieN+9e3d0795d67mCgoIghDBkeURasYeIyIYUvCU1YMAAg5y34NIMuipYD2+ZEZG5MBAR2ZCCPTn6Lq6q6SkwqYHo888/V3nPHiIiMhcGIiIbsXbtWmzbtq1Y53B1dVW7XWogKoiBiIjMhYGIyMKMHTsW48aNM+g5nzx5giFDhhT7PJoCUbVq1Yp9boCBiIjMh4GIyII8efIES5cuxZIlS/Ds2TODnTc1NVWndkUFG2dnZ8XXW7duBQCUK1cOM2fOxPDhw9GgQQPpRYKBSBkHFBNpZox/HwxERBZEeVCxIcOBroOVJ0+erHV/mTJlFF/36NEDv/32G65cuQIvLy+sXLkS7dq1U+z/7rvv9K6TgQhwdHQEAIM9AUhUEuUvRG2fP/moAfCxeyILIpPJFF8b4jegnJwcDBgwAJ6enjq1V+4BUmf58uUYOnQoJkyYAJlMhjfeeENlv/IPp2HDhmH48OF61cunzF7+HZYuXRqPHj0CALi5ual8XxDZury8PDx+/Bhubm5wcDBcjGEgIrJQhghEcXFx2LJli87tiwpE1atX17oaufJTaAWfSHvzzTfh5uamuNWmDnuIXvL19QUARSgiIlV2dnYIDAw06C8LDEREFkT5sXhD9Jakp6fr1d7Z2Rlnz55Fo0aN1O4vqnta2/769etj3rx5DEQ6kMlk8PPzQ4UKFcy+3hyRJXJycjL4YtAMREQWxNBjiB4/fqxXe2dnZzRs2FDj/qJ+AGnbr8uYmJ9//hmdO3fmLaL/z97e3qBjJIhIMw6qJjKhM2fOoE6dOti9e7fa/co9RMUNRNHR0ejTp49exxTVG1FUINL24a3Lk25r165FbGxske2IiAyNgYjIhN555x1cuXIF4eHhavcbsofoww8/1PuY/NBy8uRJtfuL6q3w8PAo8txFSUhI0KkdEZEhMRARmdDTp0+17jdUD9Gvv/6Kixcv6n2cu7s7AODVV1/FF198AQAIDg5W7C+qh2jkyJFo3bo1Fi1aVGhf06ZNdarBzc1N13KJiAyGY4iITEhbyMnJycGYMWMU76UOqj527FiRK4kXFBISgkaNGqFr166KbePHj0doaCjc3d0VoaioQOTu7o4jR46o3Td69GidalG+bTd48GDI5XLs2LGD44qIyKjYQ0RkZPv370d0dDQA1ZAzduxYlUfr161bhz179ijeS+0hOnPmjN7HDBkyBMuXL1cJPPb29mjZsiVcXFxUtknRvn17ODk56dQ2KysLT548wfTp07Fu3Trs2rVL66P+RESGwEBEZETvvvsuOnfujHbt2mHdunWK2VUBYOnSpfj7778V7+Pj41WOlRKInjx5IqlnSdegI7WXRpcnzDp16gTgZQ9R48aNMXv2bMU+Qy0eS0SkCW+ZERnRjh07FF8PHjy40P78AGNvb18oyOgbiE6dOoVmzZpJqlNbICpfvrzia6mzwuoyH1L+khWLFy8uNLA6MzNT0nWJiHTFQERkJLoEmoEDB8LR0REXL15UGVCt6/HKlixZold7ZdoCkbe3N/788084OTlJvmWm3EPk4+ODhw8fFmqTH4jOnj1baN+LFy8kXZeISFe8ZUZkJLrc5nny5AkePHiAH374odg9RAUDlT6KGiz92muvoXnz5nqfN38Ntddee02xrWXLlmrbahtjlJycrPe1iYj0wR4iIiPRZ9xLXl5esQNRcZb6MNZsyGfPnsXWrVsxcuRIxbbSpUurbZvfQ6QOe4iIyNjYQ0RkBDdv3sSqVat0bp+Xl1eoh0ffgKNvD5HyY/DGCkRVq1bFlClT4OXlpdiW32tUkLZAxPW8iMjY2ENEZATVq1fXq31ubm6hQHPx4kV07txZ63EpKSkYNWoUevfurXcgUl7Z3pTrZUkJRIZY6JaISBv2EBFZAHW3zCZOnFjkcR9//DHWr1+PN998E9u3b9frmsrzCxl61Wht8pctKVOmjMp2bU+wGWKhWyIibRiIiCxAbm6upF6Q/fv3S76muXqIGjdujPPnz+PGjRuK5Tzq1KmjdY4j9hARkbExEBFZgKNHj2LlypUq28qVK1fkccV5+spcgQgA6tWrB29vb+zatQtTpkzB3r17tbbPyclBdHQ0Hj16ZKIKicjWMBARWQB163+1bdvWIOdu3Lix2u2GWJKjuPz9/TF//nxUrlxZaw/Rtm3b0K5dO1SrVs2E1RGRLWEgIjKg7OxsxMXFGeRcugyS1mUpjWnTpqndrtxDZMoxRJpoG0N0/PhxAC8HkRMRGYP5fwoSlSAjR47Eq6++apBzFRWI8vLydAoI3t7earcrT4Rorh4iZbouC3Ls2DEjV0JEtoiP3RMVQ15eHkaMGAEA6Nu3L1avXm3Qc2vzxhtv6DT5o6awY84xROroGohatWoFIYSRqyEiW8MeIqJiOH/+PH744Qf88MMPaNeunU7HKE9SqE1+IPr888/RoEEDyOVylf26PmGmHDTq1Kmjtg5rCkRERMbAQERUDLqs4l7Qm2++qVO7/EA0c+ZMnD9/HitWrND7WoBq2HF0dMRnn32GiIgIlXBk6WOIiIiMjT+BiIohMzNT72Pc3Nx0alfwlllWVpbe1wJUA5GDgwNmzZoFAIiPj1fbxlwYiIjInMz/ayGRFZMSUpQfd9emYCCSupq9ctBQXh5DOQQxEBGRrWMgIioGKT1E2tbsUiY1ABWkHHZq1aql+Fo5gDAQEZGtYyAiKgYpgUjX8FEwEEl9ssre3h4xMTEYNGgQvv76a7V16DKfkbH17t1b8XXHjh21tr179y769OmDmJgYI1dFRLbCKgLR/Pnz0axZM3h4eKBChQoIDw/H1atXtR4TFRUFmUym8tL1VgWRrqTcMtM1EElZv6tFixaFtjk4OCAsLAxRUVEoW7as2josIRBVqlQJcrkcd+/exdq1a7W2HTx4MLZs2WKw2byJiKwiEB05cgQRERE4ceIEDhw4gOzsbLz++utITU3VepynpyeSkpIUL+VBpETFJYSQtLZWr169dGonpYdIOfDk0xTALOE2WUGenp7w9/dXmTRSnX///ddEFRGRrbCKm/b79u1TeR8VFYUKFSrg9OnTaN26tcbjZDIZfH19jV0e2ajJkyfjyy+/1Pu4Ro0a4datW6hatarWdpoC0aNHj9CzZ0+1x+g6PglQDUSWNtFhUWGtqF+GiIj0ZRWBqKD8CerKlCmjtV1KSgoqV66MvLw8NG7cGPPmzUPdunXVts3MzFQZD1KcVcTJNkgJQ/mqVKlSZJu8vDzcv39f8V4IASEEmjRpgrt376o9Rl0g0hR2LLGHKF9RtaWlpZmoEiKyFVZxy0xZXl4exo0bh9DQUNSrV09ju1q1amHNmjXYvXs3fvrpJ+Tl5aFly5YaP0jmz58PLy8vxSsgIMBYfwQiAEDXrl217s/Ly8OQIUNUtkVFRWn8HgZsJxARERma1QWiiIgIXLhwAZs3b9baLiQkBAMHDkTDhg0RFhaGHTt2oHz58vjuu+/Utp86dSrkcrnilZiYaIzyycZ16dJF8fXu3bsxZswYjW1PnDiBS5cuKd7fuHGjUEAqSN2j6wxERERFs6pbZqNHj8aePXvw559/olKlSnod6+joiEaNGuHGjRtq9zs7O6uLljENAAAgAElEQVQsdklkDOvWrVN8bW9vDx8fH63tlYP5li1bijx/wSU4QkNDUa1atSLbWtsYIiIiQ7OKHiIhBEaPHo2dO3fi8OHDOo2/KCg3Nxfnz5+Hn5+fESok0qx8+fKKrws+PWXoIKIcciZMmICjR49qXKdMJpMhODgYvr6+KuuaWQIGIiIyNZP0EOV388tkMqxevVrv4yMiIrBx40bs3r0bHh4eePDgAYCXq3W7uroCAAYOHAh/f3/Mnz8fADBr1iy0aNEC1atXx/Pnz/Hll18iPj4ew4YNM9Cfikg3nTt3xvr16wEYPxAVnE+oqPmFzpw5g9zcXL2eTjMFS1hslohsi0kCUf4kiQAkBaL8Vb7btGmjsn3t2rUYPHgwACAhIUHlh+izZ8/wwQcf4MGDB/D29kaTJk1w/PhxvPLKK9L+EEQSFVxtXpkxA1H+Lwva2NnZWWT4sISJIonItphsDFFxfvDrcmzBKfwjIyMRGRkp+ZpERZHJZDp9b2pbM8wYgWjhwoXYsmULxo8fb9BzExGVZCb51TAvL0/xIiopdOmBAVSX4CjY82GMQDRp0iScPn0a3t7eBj23uVhiDxYRlTz8SUMkka5r46Wnp2vcpxyIgoKCiltSiQwPpUqV0rq/VatWSElJ4S9cRFQsJe+nJ5GJqOshyh/vpkxbL5Dyh3hRCxbroiSOvSmqJ+7YsWPw8PBQu7AtEZGurGoeIiJLou6DWl1vRrt27fDff/+hWbNmhfYpjynio+bq6To/WFxcHIQQJTIUEpHxSQ5ECQkJko4LDAyUekkii/HixQvF9A/K3NzcCm2rUKECDh48qPY8H374IdatW4devXoZ5HZXSbxlVrFiRZ1njs/NzVU7WzcRUVEk/+SQMjmiTCZDTk6O1EsSWYzu3bsjJSWl0HblcUWTJk1CTk4OunfvrvE8ZcqUwc2bN3Xu1QgKCsKdO3c07i9JvSMbN27EhQsXYGdnh5MnT+p0DAMREUkl+SeHlKdjLG15ACKpCk7zkM/BwQG9evVCYmIi5s2bp9NtMH1CjLp/Q0OGDMGaNWsAlKweor59+wIAZs6cqfMxyk/0ERHpQ3Igun37ttb9crkcJ0+eRGRkJB4/foz169db3PIARIbm4OCg05pjhrRixQpFICpJPUT59Al5DEREJJXkQFS5cuUi2zRo0ADvvfce2rdvj6FDh+Ls2bNSL0dkFYx9u6ZgD1HFihULLQdS0ugz2Hzfvn3o2bOnEashopLK6P3rLi4uWLp0KZKSkjB37lxjX47IrAwdiO7fv4/z589r3B8QEKDyviTdMsunz5+pV69eRqyEiEoyk/z0bNKkCUqVKoVff/3VFJcjMhtDByI/Pz/Uq1dP4/6CYaEk3jLTdzqC0aNH4/nz50aqhohKKpMt3ZGbm4ukpCRTXI7IbPz9/Y16fiEENm7cqHjPQFTY8uXLMWTIECNVQ0QllUkCUXR0NDIyMlC6dGlTXI7I5Jo1a4ZffvkFlSpVMup1hBCKp6+AwmGhJAYi5dC3d+9enY7ZuXMnxowZg3nz5hmrLCIqYYwaiLKzs7F161YMGjQIMpkM7dq1M+bliMymZcuW6NatW7HP079/f73a20IPkfJtyI4dO+p83LJly/Dpp5/i0aNHxiiLiEoYyQMeqlatqnV/RkYGHj16BCEEhBDw8vLCjBkzpF6OyKIZamHRn376CevXr8eUKVNQvXr1QvsLPmVWMBCVxEHVxV3eRNviukRE+SQHIm2z5RbUqlUrLFu2DDVr1pR6OSKL8fjx40LbDLnSukwmw8KFC9XuKxiI8nuEmjVrhri4OAwYMMBgdViKfv364fPPP9erd0gZZ8cnIl1IDkRr167VfmIHB3h7eyM4ONjoA02JTCk8PLzQNkMGIm0KjlHK7xE6duwYnj59Ch8fH5PUYUqlS5fGvXv3JC9+y8kaiUgXkgPRoEGDDFkHkVWYPHkyjh8/Xmi7sXtmDh8+jIULF2L58uUq29u0aQMAcHR0LJFhKF9xpjNgDxER6UImuMCYWsnJyfDy8oJcLoenp6e5yyELoW7Q8k8//aT3YOjiun79Og4cOIBhw4aV+JmqC8r/f9CyZUu14bSgf//9F/Xr1zd2WURkIaR+fpe8EZhEJlbUAwbGUKNGDYwaNcrmwhAALFmyBP369UN0dDSWLVtWZHv2EBGRLoy78BKRDSiJT3ZZsjFjxii+fu2114pszzFERKQL/iQnKqaSOPePtdClh4w9RESkCwYiomJiD5H5ODo6FtmGgYiIdMGf5EQ6unjxotrt7CEyH116iHjLjIh0wUBEpKMePXqo3c4eIvNhDxERGQp/khPp6NatW2q3s4fIfHQJROwhIiJdMBAR6SgrK0vtdvYQmQ8HVRORofAnOVExMRCZD2+ZEZGh8Cc5UTHxlpn5cFA1ERmKSQJRu3bt0K5dO7Rv394UlyMyKfYQmY/ygq/z5s1T2+bSpUt48uSJqUoiIitlkrXM7OzsFL9FW8tva1zLjArS1BN0+fJl1K5d28TVUL5bt24hPT0dsbGx+OCDDzS247KNRLZB6ue3SZbuCAwM5G0FKrH4vW1e+WvJ6bLQKxGRJiYJRHfu3DHFZYiMhr0Lli8zM9PcJRCRFePgByIdaHtSiWHJMjAQEVFxMBAR6SA7O1vjPgYiy1BUIMrLyzNRJURkjRiIiHTAQGT5igpE06dPN1ElRGSNDDaG6NGjR7h79y5SU1O1fkC0bt3aUJckMhkGIsuXkZGhdf/cuXMxZ84cE1VDRNam2IHom2++wdKlS3Hz5s0i28pkMs4aS1aJgcjy8ZYYERVHsW6Z9enTB2PHjsWNGzcghCjyxR9YZK20BSJ+X1uG8ePHw9/fX2ubEydOmKgaIrI2kgPR5s2bsXXrVnh6emLbtm1ITU0FAPj6+iInJwd3797F2rVrUb16dZQrVw6HDh3iBwdZLW2BiCyDn58fEhMTERQUpLFNSEgI2rRpg3PnzpmuMCKyCpIDUVRUFGQyGWbPno133nkHrq6u/zupnR0qVqyIQYMG4cyZMwgICEB4eDhu3Lgh6Vrz589Hs2bN4OHhgQoVKiA8PBxXr14t8riff/4ZtWvXhouLC+rXr4/ff/9d0vWJCgaiwYMHK7729vY2cTWkiUwmK3I2/CNHjqBz584mqoiIrIXkQHT27FkAwIABA1S2F+wFcnd3xzfffIMXL15g4cKFkq515MgRRERE4MSJEzhw4ACys7Px+uuvK3ql1Dl+/Dj69u2LoUOH4uzZswgPD0d4eDguXLggqQaybcqBqG/fvlizZg127tyJqKgoBAQEmLEyKkiXcYoPHz40QSVEZE0kr2Xm7OwMV1dXPH/+XGWbk5MTXrx4Uai9u7s7ypcvj9u3b0uv9v97/PgxKlSogCNHjmh8aq13795ITU3Fnj17FNtatGiBhg0bYuXKlUVeg2uZkbLTp0+jadOm8Pf3x927d81dDmnh4+ODR48eFdmOg+GJSiapn9+Se4jKli1baA2n0qVLIy0tTSUkKXvw4IHUy6mQy+UAgDJlymhsExsbiw4dOqhs69SpE2JjY9W2z8zMRHJyssqLCAD++ecfNG3aFADg6Oho5mqoKHySlYikkByI/P39kZycjJSUFMW2OnXqAACio6NV2p45cwZpaWlwc3OTejmFvLw8jBs3DqGhoahXr57Gdg8ePICPj4/KNh8fH42hbP78+fDy8lK8eBuEAOD69euYMWOG4j0DkeXTJRDZ29uboBIisiaSA1Hjxo0BAHFxcYptXbt2hRACEydORFxcHLKzs3Hq1CkMGjQIMpkMoaGhxS44IiICFy5cwObNm4t9LmVTp06FXC5XvBITEw16frI+165dQ82aNbF7927FNgYiy1fUoGrg5YMfRETKJP9UyA8/P//8s2LbyJEj4e/vj9u3b6NFixZwcXFB8+bNcfHiRTg4OODTTz8tVrGjR4/Gnj17EB0djUqVKmlt6+vrW2jg5MOHD+Hr66u2vbOzMzw9PVVeZNuOHDli7hJIgi5dugAAqlevrrENxw8RUUGSA9Ebb7yB6OhovP/++4pt7u7uOHz4MEJCQlQmZAwMDMSOHTvQvHlzSdcSQmD06NHYuXMnDh8+jCpVqhR5TEhICA4dOqSy7cCBAwgJCZFUA9keJyenQtv4QWr5vv/+e3z55ZeFbt0r4zgjIipI8tIdDg4OCAsLK7S9Ro0aOHbsGO7evYvExER4eXmhTp06hQZg6yMiIgIbN27E7t274eHhoRgH5OXlpZj/aODAgfD398f8+fMBAGPHjkVYWBgWLVqErl27YvPmzTh16hS+//57yXWQbWEgsk7e3t6YOHGiucsgIitjsMVdC6pUqVKRt7V0tWLFCgBAmzZtVLavXbtWMUFeQkKCyriAli1bYuPGjZg2bRo++eQT1KhRA7t27dI6EJtImbrxQgxEJUPLli3NXQIRWRijBSJD0uVDKCYmptC2nj17omfPnkaoiGwBe4is32+//YauXbsW2i6TyZCRkQEXFxczVEVEloiPWhBpoC4QcT0+6/LGG2+o3X7s2DG4ubnhypUrJq6IiCwVAxGRBurGvbGHqOQQQmDBggUAgLS0NLz11ltYtWqVmasiInNhICLSQF1vEANRyeLs7Iz79++jVKlS+OWXX/DBBx+YuyQiMhMGIiIN1E3wx1tm1sfPz0/jPmdnZ7z77rsq2xh6iWwTAxGRBuoCET8src/NmzfVPnQBAMuWLcOJEydUtj19+tQEVRGRpWEgItJAXW8QJ/SzPq6urqhcubLO7TUtTk1EJRsDEZEG6nqI6tata4ZKqLj0WcxVl7XQiKjkYSAi0iC/h8jJyQnnz59HeHi4YiZ0si76LObKXkAi22QVEzMSmdq1a9fQu3dvAECrVq1Qr1497Ny508xVkVRZWVk6t2UgIrJNJglE7dq1A/BywdWPP/4YpUuXNsVliSTr27ev4mt9breQZfLx8dG5LQMRkW0yyS2zmJgYHDlyBAsWLEDVqlUxb948pKWlmeLSRJJcuHBB8TUDkfVzc3PD3bt3cfr06SLbMhAR2SaTBKLAwEAEBgbC1dUVz58/x7Rp01CtWjVTXJpIEuVbLPqMPyHL5e/vD39//yLbcVA1kW0yyS2zO3fuAHj5m9fJkydx6NAhjfOCEFka9hCVHA4ORf/IYw8RkW0y6a++Dg4OCA0NxfTp03H48GFTXppIMgaiksPR0bHINq1bt8Yvv/xigmqIyJLwXgBREXjLrOTQpYcIAN566y0jV0JEloY/6YkKKDjXEHuISg5deoiIyDYVewxRWloaVq1ahf379yM+Ph7p6em4efOmYr9cLsdvv/0GmUym8igzkaX65JNPVN5zkG3JoWsPERHZHpkoxmqV586dw1tvvYW7d+8qFr2UyWQqHyBCCNStWxdXr17FgQMHFHMSWbrk5GR4eXlBLpfD09PT3OWQCclkskLbuKhryaHu/686/H9OZJ2kfn5LvmX25MkTdO3aFYmJiWjcuDG++uortReWyWQYOnQohBAcqEhEVmP27Nk4d+4cACA7O9vM1RCRsUkORJGRkUhKSkL79u1x8uRJjB8/Hq6urmrbdu3aFQAQGxsr9XJERpeZmYlLly6Zuwwysj///FOndtOnT0ejRo1w4cIFuLu7Y+rUqUaujIjMSfIts+DgYFy4cAGnTp1Co0aNAAB+fn549OhRoTEXQgi4uLjAw8MD//33X/GrNgHeMrM9YWFhGj8sefukZHnllVdw+fJlvY/j9wGR5TP5LbNbt27ByckJDRs2LLKtTCaDp6cnkpOTpV6OyOh07Tkg69ekSRNzl0BEFkZyIMrLy4ODg4NOAxSFEEhJSUGpUqWkXo6IyGAiIyPNXQIRWRjJgcjf3x9paWl49OhRkW3j4uKQmZmJKlWqSL0cEZHBlCtXztwlEJGFkRyI2rRpAwBYu3ZtkW0///xzyGQydOzYUerliMxmz5495i6BjMDDw8PcJRCRBZEciMaOHQuZTIZ58+bh4MGDats8fPgQ/fv3x969e+Hk5ISIiAjJhRKZQ0JCguIpSSpZjh8/bu4SiMiCSA5EdevWxbx58/DixQt06tQJTZs2hVwuBwD069cPoaGhqFy5MjZv3gwAWLJkCQIDAw1TNZGJ5OXlmbsEMpJ69erhjTfeMHcZRGQhijWP/aRJk1C2bFlMnDgRZ86cUWzfsmWL4vHU0qVLY/HixRg4cGDxKiUyEiGExocDOOVCycbAS0T5ir2wz9ChQ9G7d29s374dx44dw/3795GbmwtfX1+EhoaiZ8+e8PLyMkStRAaXnZ2NZs2aoWrVqoX2HT16FN7e3maoikzFzc1N8bWHhwdevHhhxmqIyJyKtZZZScaJGW3D0aNH0bp160LbW7dujSNHjpihIjKl+Ph4vPnmmxg3bhx+/fVX7N69W2t7/rgksnxSP7+59DPZNE0r2ffq1cvElZA5VK5cGefPnwcArrVIZOMkD6omKgk0jSFxcnIycSVERGROOvUQDRkyxCAXk8lkWL16tUHORWQIDESUT5fbYT169MC2bdtMUA0RmZpOgSgqKgoymUztDwxdlu4A/vckDwMRWRIGItLH9u3bzV0CERmJToFo4MCBGoPP7t278fz5c7i4uKBJkyaoVKkSAODevXs4ffo00tPT4e3tje7duxuuaiID0RSIsrKyTFwJERGZk849ROr069cPcrkcU6dOxeTJkwuN5n7x4gUWLlyI+fPnIysrCxs2bCh2wUSGpCkQPXz40MSVkLnxCTIi2yb5KbMffvgBW7ZswcyZM/HZZ5+pbePh4YE5c+bA2dkZM2fORNu2bTFs2DDJxRIZmqanzIKCgkxbCBERmZXkp8xWr14NOzs7jBs3rsi248aNg52dHVatWiX1ckRGoamH6N133zVxJWQt2JNEVDJJDkRXrlyBl5eXTitGe3h4wNPTE1euXJF6OSKj0BSI7O3tTVwJWQtNvYpEZN0kB6K8vDw8f/4cT58+LbLt06dPIZfLJa8b9Oeff6Jbt26oWLEiZDIZdu3apbV9TEwMZDJZodeDBw8kXZ9Kni1btmDQoEFIT083dylkZfjYPVHJJDkQNWjQAEIIzJo1q8i2s2fPRl5eHurXry/pWqmpqQgODsby5cv1Ou7q1atISkpSvCpUqCDp+lTy9OnTBz/++CO+/fZbc5dCFkLXW2F9+/bV+KAJEVkvyYFo5MiREEJg2bJleP/993Hr1q1CbW7fvo0hQ4Zg6dKlkMlkGDVqlKRrdenSBXPmzMHbb7+t13EVKlSAr6+v4mVnx4m5SdX9+/fNXQJZCH3GBr3//vtGrISIzEFyQujfvz8GDx4MIQR+/PFH1KhRA0FBQQgNDUVoaCiCgoJQvXp1rFu3DkIIvPfee+jfv78hay9Sw4YN4efnh44dO+LYsWMmvTZZB44HISIioJhrma1ZswaLFy+Gt7c3hBBISEhAbGwsYmNjkZCQACEESpcuja+//hpr1641VM1F8vPzw8qVK7F9+3Zs374dAQEBaNOmDc6cOaPxmMzMTCQnJ6u8qOTLyckxdwlkpUJDQzFv3jxzl0FEBiITBniGNDMzE3/88QdOnTqFR48eAXh5u6pp06bo2LEjXFxcil1oPplMhp07dyI8PFyv48LCwhAYGIj169er3T9z5kx8/vnnhbbL5fJCE06S9StqyRk+Wm17+vXrh02bNul9HL9XiCxLcnIyvLy89P78NkggMiWpgejjjz/GX3/9hdjYWLX7MzMzkZmZqXifnJyMgIAABqISioGICrp37x7efvttxMXF6XUcv1eILIvUQCR5pmprc+7cOfj5+Wnc7+zsDGdnZxNWRESWxN/fH3///bfOC1YTUcliFYEoJSUFN27cULy/ffs2zp07hzJlyiAwMBBTp07FvXv38OOPPwIAFi9ejCpVqqBu3brIyMjAqlWrcPjwYfzxxx/m+iMQERGRBZMciNq1a6f3MTKZDIcOHdL7uFOnTqFt27aK9+PHjwcADBo0CFFRUUhKSkJCQoJif1ZWFiZMmIB79+7Bzc0NDRo0wMGDB1XOQUSkTalSpZCeno7w8HDs2LHD3OUQkZFJHkOk65w++d3PQgjIZDKrecxZ6j1Isg4cQ0Sa5H9vbNy4EX379lXZpg6/V4gsi8nHEM2YMUPrfrlcjpMnTyI2NhZly5bFyJEjuT4UEVm8/fv3IzY2Fr179zZ3KURkQkZ/yuzw4cN455130KFDB6taA4g9RCUbe4hIH+whIrIeUj+/jb6WRbt27bBkyRLs3LkTq1atMvbliIiIiPRmksW9evfuDXt7ewYiIipx0tLSsGPHDqSkpJi7FCIqBpMEIhcXF5QqVQqXL182xeWIiExm2LBhePfddzFgwABzl0JExWCSQHTv3j3I5XLeayerUK1aNXOXQFYkf7mP3bt3m7kSIioOo0/MmJ6ejlGjRgEA6tevb+zLEUk2bNgwdOrUCWFhYeYuhYiITExyIJo1a5bW/RkZGUhMTMT+/fvx5MkTyGQyRERESL0ckcFo6ql0cnJCjx49TFwNWYOGDRvi3Llz2Lp1K8aOHYukpCRzl0REBiY5EM2cOVOnNX+EELCzs8O0adPQr18/qZcjKraMjAwcOXIErVq1Urufa1iRJkePHsWVK1fQpEkTTJo0ydzlEJERSA5ErVu31voB4uDgAG9vbwQHB6NXr16oUaOG1EsRGcTo0aOxevVq9OzZU+1+BiLSxN3dHU2bNgUA3LlzR2tbIQTOnDmDGjVqcA4zIisiORDFxMQYsAwi41u9ejUA4Oeff1a7n4GIDGHPnj3o3r07qlatips3b5q7HCLSkUmeMiOyBgxEZAhbtmwBANy6dcvMlRCRPiQHolmzZuHrr7/Wuf3SpUuLHIhNZE4MRGQInF6EyDoVa7V7X19f3L9/X6f2VapUQUJCAle7J7MpKvCMGzcOkZGRJqqGrJW276MTJ06gRYsWivcMR0SmZ7FrmRFZC/YQUXEphyEisi4mC0RPnz6Fi4uLqS5HpDc7O/5+QERkq0zyCfDzzz/jxYsXCAwMNMXliCRhDxERke3S+bH7JUuWYMmSJSrbHj9+jKpVq2o8RgiB58+fIzk5GTKZDF27dpVeKZGSrKws/PHHH2jdurXBxngxEJEunJ2dkZmZae4yiMjAdA5Ez58/LzQhWW5ubpGTlOVr3749pk+frk9tRBrNmDEDCxYsQKtWrXD06FGDnJOBiHTh4uLCQERUAukciMLDwxEUFATgZc/PkCFD4OXlhcWLF2s8xs7ODp6enqhXrx5XECeDWrNmDQDgr7/+Mtg5GYhIFy4uLpDL5eYug4gMTOdAFBwcjODgYMX7IUOGwNXVFYMGDTJKYUSGpO7x5zp16uDy5cuK9x07djRlSWSlgoOD8ccff5i7DCIyMMmDqvPy8nSeg4jI3NatW1do2/fff6/4eu3atWjfvr0pSyIrtXbtWgwYMACtW7fW+ZglS5Zg06ZNRqyKiIqLzxlTiVSwR0jdrV3laSD0+XAj21axYkWsX78eoaGhOrW/du0axo0bh379+hm5MiIqDgYiKnGePn2KwMBAjB07FvHx8RgzZgz++eefQu1cXV3NUB2VFFlZWTq1e/bsmeJrzlxNZLl0GkNkb28PAKhduzYuXryosk0fMpkMOTk5eh9HpI8VK1bg7t27WLp0KQ4fPowLFy6obafcQ8QB1aQvXZchUv7eys3NhYODzkM3iciEdPqXmf9bjfJvN/xNhyxVXl6e4mtNYQiQFuqJ8il/n2mjPAN6dnY2AxGRhdLpX2Z0dDQAwM3NrdA2InPQFsh1+aDy8PCAr6+v4r3y9zaRLqT0ELGHnMhy6RSIwsLCdNpGZApCCDx+/Fjr/qIcOHAALi4u+Pbbb5GRkQEfHx9Dlkg2QJfgPXfuXPz444+K99nZ2cYsiYiKgX23ZHUSExO17tclEDk5OQEARo4caZCayPbo0kM0bdo0lfcMRESWi0+ZkdUp+HTP4MGDVd7r8ps7B1FTcel6y0wZb5kRWS4GIrI6BT9UCk66qEsPUZ06dQxaE9keXQdVK2MPEZHl0ikQ2dvbG+TFpyvIEIr6zbyoQBQZGQlnZ2dDlkQ2SEoP0Zo1a3D9+vVC21NSUgxREhEVg06BSAhhsBdRcRU1IV5R32e8bUGGIKWHaPbs2ahZs6bKtkWLFsHDwwNbt241VGlEJIFej90TWYKMjAyt+4v6oJLymz1RQYb6Ppo4cSIAYODAgejVq5dBzklE+pP82D2RuWRmZhbalp6ejv/++w8BAQHsISKT8Pf3N+j5HB0dDXo+ItIPB1WTVbh9+zYiIyORkpKitoeofv36CAwMxOXLl4sMROwhIkOYNm0a+vXrh6ZNmxrkfAxERObFQERWoVGjRhg/fjymTJmiNhDdvHkTALBr165Ct8xq1aqFOXPmKN67u7sbt1iyCV5eXtiwYQPi4uKwYsWKYp+PgYjIvIodiIQQ2L59O3r27IkqVaqgVKlSKFWqFKpUqYKePXti+/btkgYfEimTy+UAgEOHDqm9ZaZs0aJFKu9ff/11fPrpp/j222/RqVMnjBgxwmh1km26evVqsc/h6OiInJwcxfc6EZlWsQJRQkICQkJC0KtXL+zYsQPx8fFIT09Heno64uPjsWPHDvTq1QstWrRAfHy8oWomG3blyhX06dNH4351Ey7mL+I6cuRI7Nu3j+uWkcENGjRIr/axsbEAVIOUo6MjmjRpgtKlSyMpKcmg9RFR0SQHIrlcjrCwMMTFxUEIgZCQEEybNg0rVqzAihUrMG3aNLRs2RJCCJw6dQpt27blbz5kdOoCEWelJmNr2LAhVq1apXP7jz76CBs3bkTt2rUV2xwcHPDvv/8CAH7//XeD10hE2kkORHPnzkV8fDy8vb1x4MAB/PXXX5g1axaGDx+O4cOHY9asWTh69BLv6KIAACAASURBVCgOHTqEMmXKID4+HvPmzZN0rT///BPdunVDxYoVIZPJsGvXriKPiYmJQePGjeHs7Izq1asjKipK0rXJtHbs2IHvv/9eZVtqaqrOx6sLP0XNW0RkCBUrVtS57cmTJ9G/f3+VbRxDRGRekgPRzp07IZPJsHLlSrRv315ju7Zt22LlypWKsUZSpKamIjg4GMuXL9ep/e3bt9G1a1e0bdsW586dw7hx4zBs2DDs379f0vXJdN59910MHz5cZTbfgQMH6nx8WlpaoW0cw0amYGdXvCGZDERE5iV5LY27d+/CyckJ77zzTpFt3377bTg7O+PevXuSrtWlSxd06dJF5/YrV65ElSpVFINr69Spg7/++guRkZHo1KmTpBrItJKSknD69Gk8fPgQO3bs0Pm4zz//HGXLlsWTJ08U2xiIyBSUA9G1a9ewaNEifPfddzofr7y0EW/zEpme5EDk7e2N9PR0nX4rsre3h4uLC1xdXaVeTi+xsbHo0KGDyrZOnTph3LhxGo/JzMxUeXopOTnZaPWVJLGxsTh69CgmTJigGLwslfL8QdnZ2ejbt6+k8xSceJFLxpApKP8srFGjht4LCDMEEZmX5D7eli1bIjk5GdeuXSuy7bVr1yCXy9GqVSupl9PLgwcP4OPjo7LNx8cHycnJSE9PV3vM/Pnz4eXlpXgFBASYolSr17JlS0yePBmbNm0q9rmUJ0zcsmWL5PMUDETsISJTKO7i1crBneGIyPQkB6IpU6bA0dERo0aN0jovTFZWFkaNGgVHR0dMmTJF6uWMburUqZDL5YpXYmKiuUuyKupW8NaX8uKWP/zwg+TzMBCRObRs2RKNGzdG7969zV0KEUkg+Veapk2bYuvWrRg0aBAaNmyISZMmoW3btor1fe7du4fo6Gh89dVXSEpKwrZt29C4cWODFa6Nr68vHj58qLLt4cOH8PT01HjbztnZGc7OzqYor0QyxN9dwadupCoY0HnLjEzB0dERp06dUvTuaOvlcXV1LdRbze9TIvOSHIiUx4skJydj2LBhWtuHh4er3S6TyQy+2GZISEiheTwOHDiAkJAQg17H1inf4nJxcTFjJdqxh4hMRddbXeoCkfLPwRUrVuD99983aG1EpJ3kW2ZCCIO9ipKSkoJz587h3LlzAF4+Vn/u3DkkJCQAeHm7S/nR7BEjRuDWrVuYNGkSrly5gm+//RZbt27FRx99JPWPS2ooDzwvbg+RMX87ZiAiS6Oupzo7O1vxdVxcnCnLISIUo4coOjrakHVolT/Tdb7x48cDeDldflRUFJKSkhThCACqVKmC3377DR999BGWLFmCSpUqYdWqVXzk3sCUA5G+oSM6OhqvvPIKfHx8kJOTo/JhYGgMRGRp1AUiQ/eUE5F+JAeisLAwQ9ahVZs2bbT2IKibhbpNmzY4e/asEasi5bE66lag1+TXX39F9+7dAQAXLlxA8+bN0a1bN4PXl4+BiMxB+fbZ6dOn0aRJE8X7ypUr48aNGyrtNT0BS0SmUezV7sl2SQ1EyjOW16tXD6mpqdi8ebNBa1PGQETmUKlSJcXXBR8oKTgtCACtE9c+f/4cGzZsQEpKiuEKJCIVDEQkyYYNGzBx4kTF+4yMDKSnpyM0NBTTp09XaZuRkaFyO8DUP9T59A6Zw1tvvYVp06bhl19+Udnu7u6u05i7pUuXKuZ569GjBwYMGIARI0Yo9qelpeHixYuGLZrIhsmEAT4t7t+/j3///RfPnj0rciyIPutSmVNycjK8vLwgl8vh6elp7nIsTsGnacaPH4/q1atj1KhRAP4XQjIyMlCuXDlUqFABFy9exKpVqzBmzBiT1tqjRw/8/PPPJr1mIVFRwIoVQP5CtVlZgJOT5q+dnF5+ra2dvz8wYQLw5psm/aOQNPn/Ztzd3fHBBx8gMjJSp+OuXr2KWrVqKd7n/9tq3rw5/v77b+zbtw+vv/46J3Mk+v+kfn4Xa2rVs2fPYuzYsTh27JhO7WUymdUEopJo9erVOHz4MKKiovRaSPLGjRsYPHgwpk6diq5du6pdQDUrKwtPnz5VvE9OToanpycuX76M1NRU3L59G7NmzcKCBQsM8mdR56effsKAAQMKbTfYLbO4OGDlSuDSJeDFi6JDTf7Xd+4Axhg0fv06EBMDODsD1asXXQfDlMUICgrSuW1MTIza7X///TcAoHPnzgCAhQsXYtKkScUtjchmSQ5EZ8+eRevWrZGWlgYhBJydnVGuXLliT19PxpM/V1T79u0xZMgQnY8bMGAATp48iTfffBNCiEKTXgLAN998ozIT+YgRI7Bx40aV4LVv375iVF+0/v37Fy8Q7dkDLF8OJCYWDhCPHgFyuQGrNaDMTEDfWye6hKmyZYFu3YCBAwGl8TAkzWuvvYajR49i4MCBeq1zpmvPz+TJkxmIiIpBcnqZNm0aUlNTUa1aNXz//fcICwvTaaFXMj/lnhxdqJv1W52dO3cqvt60aROioqJUAnJWVpZe19VH/liK5cuXIyIiAtOmTcPGjRtx69Yt9OzZ838NNfXy3LoF2OJTPtrC1PXrwIkTwKefAn5+QJky//v78vAA6tYFhg8HmjUzbc1W6pdffsHBgwfx5ptvwsnJCRMnTsRXX31V5HEFf67u2LFD40S3RFQMQiIvLy9hZ2cnzpw5I/UUFk0ulwsAQi6Xm7sUgwEgAIgvv/xSr+OCgoIUxwohxN69exXvlV/29vYq7+fOnSuuXbumtq0hX/369VNbd/KmTeJR8+Yir25dIWrUEMLLSwiAL0O/vLxe/v3WrStEo0ZCdOkixK+/Fvv7taTLzc3V6ft79erVhbatX79ebVsikv75LbmHSAiBUqVKoVGjRlJPQRZMLpfj0qVLaNGiRaGntJQnZFSmvJQHAPz222945513jFajl5cXPvjgA4wdO1Z10LKTE3DlCjzS0+FhtKuTglxe+Hbi3r2AiwsQEMAeJQ3s7OzwzTffYPTo0UW2K0jTuCIikk5yIKpevTouXbqE3NxclXXNyDqlpaXB1dVVMV6hefPmuHr1Knbt2lWoraZAVFBeXl6hkGQITQF8AKBFejoa7N4NLFlinEHLxuDi8nLMTmbmy6+FUP+1o+PL21Oa2l2//vK9JcvIeFlnvhMngNWrAS+vl2OSOLhbJ+oCkabb1kQkneRANHjwYIwbNw67d+82ai8AGV9iYiICAwPRvXt37N69G8DLR30BYM+ePTr3EBVkqECUH4DqAHgFQBkAMuDlB6ryB64peXkBFSpoDzXKXwcEACNHGvaDf88e4Ouvgbt3da/DEsKUco9SwcHdTk6Ary8wapRNhCRdBkyrC0R79uwxRjlENk1yIBo1ahT27NmD4cOHw8/PjyvJW7E1a9YAgGICOeUQU7ly5UKBSK7j01Z///032rRpo3c9/gBGAegEIAhKAchUHByAKlUKhwl395e3ff7v/yzjts+bb0oPDUWFqfj4l4POTaXg4G7lW24l+Gk3XQIR5xciMg3Jgcje3h6//vorJk6ciFatWuG1115Ds2bN4OGhfdRGwVmMyTyEEFi2bBlatGhRaFFJ5XmGSpcu/f/au+/4KKotDuC/3fSQAiGQkEYNVWoSqj6QIkU6iEAERIpiUIoivTeB92iKIB0EBJQiIAohhBoglSYBQSkhkFBTSCD1vj+GGWZ2Z2s2bfd8P5/9uDszO3Mnkt2Te889V+29jx8/1vs6z58/1+u4LgDGAqgHoBKKKABS7eUpUwb47DPg44+L4urFS59gKioKWLYMuHQJsLJ6EzQ9fgykpBR+G/khN9XZbpUrW1Q+Ei36SkjRKFDRoGPHjglDKqdPn8bp06d1vocCoqJ39uxZ1OBrzby2e/duLhkZkNQPAqTT462srNR6iJKSkgrcJm8AwQD62tqiXnY2HFCIQZC4x6ek9fKUZEFBwI4d8vuiooC1a7lenfR0LlDKzAS0rMdlEg8fcg9xPpK3N1C/PpeLVMr/n/r5+eHevXuSbRl8dXM95ObmUi04Qoxk9G/O6dOn0bNnT2F4pXr16vDw8KBfxhImPDwcbdu2lRRIZIzh6tWrwuutW7dK3iMOiJ4+fYr79+8LrzMzMyX1hgzBB0HDAPhDlAdkSvb2QN263HktqcenqAUFyQcf9+8DP/0EhIZyPUmFHSjx+UjXrgG7dnEBr78/0KRJqehBUh0Oe//997F69WrJtpCQEL3Pl52dTZ/BhBjJ6N+cOXPmIDc3F4GBgdi5cyeqVatmynYRHR4/fgx3d3ed+QVHjhwBALU15sS9Pg8ePBCe5+XlSQKi6dOnS943Z84cg9opGwSZUoUKXBJuYSQtE8P5+ACTJ3MPsfv3ge+/B44eBXJzCy+5+8ULIC6Oe/A9SHXqlJohNkOW1JGzbds2DBw4EE5OTiZqESGWw+jS0jExMVAoFNi+fTsFQ0XsyJEjqFixomTla03klq2Ijo7WuJyFtbU1Ro4cqfF8oaGhOq/pDeAbADcAJABYBKAmTBQMuboCjRoBEydyS2w8egRcvgz8/jsFQyWZjw/w7bdAbCz3/+vKFS5H6OBB4N13uV4db2/TXzc19c3wWtOmQNmyQLNmXN0qM/Tpp58atCwPIeQNowOi/Px8ODs7w9/f35TtIXqYMmUKAGDt2rUAgDt37mic3i4X+OzevVstT0Hs6NGjGvdp647vAuAqTBcEMQAv7e2RFRQEDB8OREZyybxxcdyXq5nNOLJIXbsCx48Df//N9SIlJAALFnBB0ltvcQUdTSk1lft3NHQoV+upXj2gf38uJ6oYqPbwmqJMxS+//KLXcaq9xoRYOqMDojp16uDly5fIKunF4cyQOMly//79qFq1Kvr06SN7rGpCNO8vQxcDfU11le5AANsApAM4BG6WmLFBEAMAOzvcdnfHWgBNASTHx8MuMhJYt67ED3cQE+CH3I4f53qR0tK4AGbAAC43TGbWo9Fyc9/kHjVtygVfLVpwAZkob64o5eTkICUlBbNmzYKDg0OBzrVhwwZMnTpV9jPg9OnTcHJywsqVKwt0DULMidEB0aeffoqcnBxs27bNlO0hehBPi1+8eDEACAUVVWkaGrt48aJR13ZxcYE3gPkAHgOIBJcj5ATjAiEG4DmAUABb+vYFXr3Cf/v1w6cAogGdZRyIBeBnu/31F/D8ORcgDR/OBS9eXqa7zosXb6b3+/oCfn7cdQqx90i1hygjIwOurq6YOXMmPv/8c6PPm5+fj+HDh2PBggWSCRS8QYMGITs7W5hpSggpQED08ccfY8iQIRgzZgx27txpyjYRHcQBkTjg+fTTT9G5c2fJNk09RMboAmDq7t1IADAFgDuMD4KegutZivnhB7gBeA9AldezacT3RwERURMUxPUYRkRws9f4YbYWLbi6UqaSkCDNPerShStoaUKqAZH4375qqQxDJIpm9fF1jGJiYhATE2P0ObXJy8vDsmXLEBcXVyjnJ6QoGD3L7JNPPoFCoYCtrS2Cg4MxefJkBAYGav0CUygU2LBhg7GXNCshISHIyMjAZpXkzvv37+P48ePo378/bG1the3JycnIysqCn5+fZMhMHPzwOUVXrlxBw4YNARQ8IOJniU0G4ApAoeeyHaoYgGcA/gBQf906NBoxAgBwom5d4Rh+iQLx/Yl/BoTIUp3ZJp7Rdvu2aYpIpqZy1bP/+INbZqRxY5NUz1at5C4OiJo2bWr0ef38/ITn2dnZyMzMRGBgIADg5cuXsu+JjY3Fd999h3nz5sHbwAT3devWYfz48QBM+0cYIUWKGUmhUDClUskUCoXOB3+cUqk09nJFLjU1lQFgqampJj/3y5cvGbgYgd29e1eyz9XVlQFg8+fPl2znj+fbxT+aNGkieQ2AxcfHC+/74osv1Pbr8wgE2AmA5XMTpI165APsCcB+en0+/twpKSnC89OnT0ueM8bY+++/L2wjpMAiIxkbPpyxFi0Yc3Aw+t+zxkfVqozNn89YQoJRzbtx44bw7/3tt9+W7IuKijLq91f8OH78OBs3bpzw+vnz56xy5cpqv2P867Zt2xp8D8OGDaPfWVJiGPv9bXQP0eDBg2mNHSOJe3VUy/Lz64T9+eefaNasGdatW4fly5cL++/cuaPxXDzx/xdNOUSadAGwFoAXjB8OewHgNwArwOUBqbKyshKei2etyfUQEVJgqkUkDx0CVq8GLl4ERDW4jHb7Npd3xOcevfeeQTWPatasiRkzZmD+/PlYunSpZB/fq1MQmZmZWLZsmfA6NzdX62f3tWvXAHA9Pfp+xtPyIsQcGB0QqQ71EP0xPbqUGWNo3749AOmHzTvvvCM5Tm6aLj+d9syZM1i1apXOa/GryX8IwAXGB0LXwNUfOqzjWPHq3eLgiAIiUiTE67jxlbUPHgSuXi34grZ83tGGDUC5ckDv3noFR7Nnz8aUKVNgZ2dXsOvLePbsmeS16nT7zz//XPI5oVQqkZCQgJYtW+Lzzz/HZNUim69FRERgzpw5WL58OU3hJ2bB6KRqYjxxEKMpOBKP8+/Zs0d4nqaSwxMfH6/23pycHOTm5qoFT6oCAVwHN1NsJF7nCOlqvAgD8BDAJAC+AGb07q01GGratCm+++47SRBEAREpVnz+UUSEdIp/pUoFP/fz52+Sst3cdM5YK4xgCJBWogfU64ytXr0ap06dEl4rlUpMnz4d9+/fF2qeyWnVqhWOHDmCnj17UkBEzEKRBET5+fk4ePAgevbsWRSXK/H0Kb6m72wQua7qnJwcravMdwFwH1wgVAuG9wgxACfB1QnyAleEMRHSwE3OhQsXMHr0aEkQJMZ3z1NARIoNP8X/wQOut2fiRC6BuoA1gSTBUYUKRVrrKDw8XPL6Y5m1/cR/aFlZWRkU4CQkJNCQGTELhRoQ3bx5E5MmTYKPjw969uyJgwcPFublSo3CmhbPy8nJkaxHxhsEIAVcAUVvGN4b9BxveoM6OzhI8oPc3d31Ppd4yEysdu3aAKQzbQgpNuLlRjIz3ywzUtBSEE+evMk3qlat0IMjfj1DsXSVoUFxrpBCoTAo99DQAIqQksrkAVFmZiY2b96Md955B7Vr18aSJUuQlJQExpjwhWfp9BkyK4jc3FwhIAoE8COADABbYNyw2EUAXQG44U1v0P79+4VjGjdurJbsrY04ILK1tUVaWhoeP34slGz48ssvAQC9evUyoKWEFDJ+mRHx0Jqra8HOySdk+/oCtWqZvM6RJk+fPtW4T6lUGrSEiJWVFfUQEbNgsoDo/PnzGDFiBCpVqoRhw4YhIiICjDHUqlUL06dPx+XLl41eLsLciD9sMjMzcf78eZOsYcTLycmBMiZGkh/kCP0DIQYgDcACcL1BjaGeKF2uXDnhuY+PD8qUKaP1nKoLxo4dOxYDBgxAvXr14OzsLOlhmjx5Ms6cOYMdO3bo2WJCihg/tJaSYrq8o7//5mob2dtzPVGvg6Nt27ahc+fOSEpKMkHD5Yl7iJRKpd7roQEUEBHzYfQsMwB4/Pgxtm7dio0bN+L69esA3vR4KBQKREVFISAgoOCtNDPi4Cc4OBh//fUX5s6di2nTphX43IEAmvTti3KpqUblBiUAGAXdM8VsbGyE5+Lu9bi4ONy9e1eSL/bo0SO1ITXxNGBVVlZWaNWqlQEtJ6QY8cER8KYo5M8/A1oWUNYqKws4cYJ72NsjuEcPBM+eDXh4oGLFinj06JGpWi5LU46fJkqlkgIiYhYM7iFijOH3339Hnz594OPjg2+++Qbx8fGwt7dH//798eeffwrH1qlTx6SNNRfiAILvNZs+fTq2bNli9DkHAUgC1yPkZmAwJE6SrgzdwRAgDYjEAV6jRo3Qo0cPybEVKlSgmlXEMvB5R3fvvknKFlWNNtirV28Wny1XDpPT0mBYDWn9qOYQGYJyiIi50Dsg+ueffzB16lT4+vqie/fu2LdvH3Jzc/H2229j3bp1SEpKwvbt2/Hee+8VZnvNgqbhMbnZH9p4g6v7w+cHecC4YbG5I0agDeSLKGoiXlJD7n4++OADAEDz5s0NOCshZkQuOHJzM/58KSkY++oVEgDcBPdHkKmIcxn53n59KZVKCoiIWdA7IPL398e3336LBw8eoEqVKpg5cyZu3bqFkydPYtiwYbQIpwEKmi/kDeAXcMNbi2B4ftAzcEnSrgCmAkjXkBiqbdjKxsYGs2fPhqOjI/73v/+p7V+7di2+//57/Pbbb3q2jBAzxgdHT58WOCFbAaAGuD+CMgEcBFdKoyDOnTtn9HutrKwkvd6FtYAsIYXN4CGzL7/8EvHx8Zg5cyaqVq1aGG0ya0+fPjUoYVHMG9yU+QQAfWH4bLF74AKh8pAOi2nKGThz5gz++OMPtGjRQm2fjY0NZsyYgdTUVNSvX19tf9myZRESEoKKplx9nBBzIJeQbUSdIwUAB3C/04fAlcVYCy6P0FDz58836PhLly4Jz5VKpaSHKSQkxIgWEFL89A6I7OzswBjDd999By8vL4SEhOD8+fOF2Taz9Pfff2ut/iqnC4A4cIHQ+zA8ENKVH6QtZ6BTp06IiIhQ287nEInXIiOEGIgPjsR1joyoWK0AUBbcEjyRAO6i4L1GvOTkZDDGMGDAAEycOBEAJJ/9qgGRoesnElJS6B0QPXz4ECtXrkSDBg3w7NkzrF69Gq1atUKtWrWwYMEC3DN2RoWF0VSUUE4XAE/A/fXXCIYHQr+DmzbfBtrzgwydVQJIc4gIISbA1zl69YoLjmrVMuo0CgB+KHivEe/rr7/GpUuXsHPnTixevBi5ublqS+5QQETMgd7fzmXLlsXo0aMRFxeHmJgYjBo1Cq6urrh58yamT5+OatWqoW3btti0aVNhtrfU0ycg6gIuz+cQuOEtQ/KDxNWku4IroqiLs7MzTp48qedVOK4FLUhHCNGsa1fg+nUuGXvBAsCASvA81V6jB+A+GwydpXbx4kUsWbJEeN2zZ09JTaTc3Fy9q++bshAtLRlCTI4VwKtXr9i2bdvYu+++y5RKJVMoFJL/7tu3j+Xk5BTkEsUmNTWVAWCpqakmPW9MTAwDF7uoPQYBLAVg+QBjBjzyAfYEYF00nFfXY/Xq1YwxxurVqyfZLibeHhUVZdKfCSFED5GRbJOtLUs14jNC9fPiYgE+L1Qf7u7urEGDBsLrRo0aCU3Ozc1l//3vf1lkZCQbOXIkq1y5MktLS2NpaWkF+m4ICwtjAFi7du1M8ZMlZsbY7+8CVaq2s7NDcHAwjh8/jlu3bmHq1Knw9vbmAy306dMHFStWxNChQ3H48GGK5qHeQ1SQpTXEidLu0K9+EI/PBQC43j9Av7/epk6disDAgnTAE0KMEhSEr5yc4Arudz7/rbeMOo0CQEOYbkgtIyND0kMkfr579258/fXXaNq0KdauXYu7d+9iwoQJcHFxQVBQkNHXXLVqFQAgLCxM4zF5eXnYsWMHbt++bfR1iGUx2dIdVatWxdy5c3H37l0cPnwYvXv3hrW1NVJSUrB161Z069YNHh4eprpcqcUHRIFAgZbWuAX1ROlJkybp3Y5vv/1WeM7/f9E29u/v7w/gTX0hQkjR4/9oOQxAeeWKMKT2ys0Nhg5GmSoR29/fX2MOUWKi+qD9jz/+CIAbijOWpj/evvnmG3To0AG5ubnYtGkTgoODUa1aNaOvQyyLyRd3VSgU6NSpE3799VckJibiv//9L+rUqQPGGFJSUgp07lWrVqFKlSqwt7dHs2bNEBkZqfHYzZs3Q6FQSB729vYFur4pKJVKhIL7AKoF42eM+QPoOmuWZP+cOXMMasvcuXMxePBgtGnTBoD2gOjSpUu4c+cOGjZsaNA1CCGFyMcHmDwZMQcOoCm43uZMwKjgiE/EfgbDco3eeustjQGRj4+PgS0pmCVLluDYsWMIDQ1FeHh4kV6blH4mD4jE3N3dMX78eFy9ehUREREYNmyY0efatWsXxo8fj5kzZyI2NhYNGzZEx44dta7r4+LigocPHwqPu3fvGn19U6neuzfawbDeoAy8SZRugzczxjp27Cg51tAp8NOmTcOWLVuEaffiD7V+/fpJjnVwcEDlypUNOj8hxLQ09YwoFApEA/gMQBkAQ8D1IhsTGJUDsBBcmY9z0D2clpeXp3HIzJgZrKaQl5dHywURgxVqQCTWvHlzrF271uj3L126FCNGjMDQoUNRt25drFmzBo6Ojti4caPG9ygUCnh6egqPYh+yO3QI9jdv6hUMMQCp4D7YnMBVpFbtfHYQFXOLiooq8AeA+MNW28+VEFKyZGVlSV7/BK4X2Rfc8jxPYFxw1Bxcb/aj1+eR6zXKy8tTW/qDL9xY0Kr8xlIqlYUSEOXl5WHZsmWIjjZkoSNSWhRZQFQQ2dnZiImJQfv27YVtSqUS7du311py/sWLF6hcuTJ8fX3Ro0cPYSFVOVlZWUhLS5M8TO7wYZ3BkHhpjbLgPtg0EQ8B8rlJNWrUELZpWhttz5498tcWfaiVKVNGR0sJISWFakDESwS3PE8FAOdXrEBC1apGBUYVAEwG12t0EdJcI9UeIoBb5Hn//v149eqV1nMb8zmbkZGBffv2qW0Xf34ZUu/NEFu3bsX48eMLlBBOSq5SERA9efIEeXl5aj08Hh4eknoYYrVq1cLGjRvx22+/Ydu2bcjPz0fLli1x//592eMXLlwIV1dX4eHr62vy+0CXLho/jLQtraGJlZUVPvjgA7Rs2VLI7ZkxY4awX65WUM2aNdG7d2/Z81FBNUJKNm1DZrwlS5agcuXKakvqZNarh58/+wy+ACaCC5aMCY74GWp8rlHkvn24efOm2rG9evXCokWLtJ7PmDQKTb3X4lnMhRUQiZcsIeanVARExmjRogUGDx6MRo0aoXXr1ti7dy8qVKggzHBQNXnyZKSmpgqPhIQE0zeqa1dkNWki+RDSZ2kN3q+//ip5bWVlhd27d+Ps2bPCWL24gnS5Dv+E8QAAIABJREFUcuXUzmGnZVkAfabdE0KKj6bf0Xbt2qFDhw745ptv8PXXX+POnTvo37+/5Bhra2swxpAIYDEAHwDpx47hhL+/wYnYqrlGJyCfa3T9+nWt5/n111+xfPlyYTZaTk4Oxo0bh99//13je7Kzs2W35+TkCM8La8iMmLdSERC5u7vDysoKycnJku3Jycnw9PTU6xw2NjZo3Lgxbt26Jbvfzs4OLi4ukkdhSN67F10BbIJ8orQ2qvV/5H7h+TXGAMDNzU1tPwVEhJgfa2trHD16VNIj89VXX0mOcXNzw8iRI1G+fHlhm03LltjbqZOQiJ0M43qNWoPLNboPw6fujxs3TkiHWLNmDZYvX46uXbtqHNrXtGyQOCCKiYmR7bUiRJtSERDZ2toiICBAUoQrPz8fYWFhsiuxy8nLy8OVK1dQqVKlwmqmXpRKJQ4D+ARcorSThvWK5Ia1+AKKvJcvX6odIw6IxM952koP0JAZISXbhg0bAAALFizQeazqHz/VqlVDuXLl8PjxY4SHh+PYsWNwcHAQJmf8BMATXG/1ORgXGHmDG05LheYkbDnXr1/H48ePERcXJ2zr27cvxo0bhwcPHmi9L544IJo0aZJkAdpnz57p2RJiyUpFQAQA48ePx7p167BlyxbEx8dj1KhRyMjIwNChQwEAgwcPxuTJk4Xj58yZg6NHj+Lff/9FbGwsPvroI9y9exfDhw8vrlsAoD62vXr1atnjvvzyS7VtqlNY5Wp8iIMguQ8ObT1EfBBWs2ZNjccQQopP3759kZ6eLvms0xc/UUKhUKBNmzZo164dAOlsVYDrrW4JCLlGSTB8OM0FmpOwNalYsaLaWpjLly9Hv379sHHjRgwYMADZ2dkaP8O0TZopX768zuE7c3Xu3LkCFcG0JIYVrilGH374IR4/fowZM2YgKSkJjRo1wp9//ikkWt+7d08SbDx//hwjRoxAUlISypUrh4CAAERERKBu3brFdQsA1AMiuV4cTdtVAyJnZ2e1Y8TDXl27dsU777yDgIAALF++HID2gGjhwoVo0qQJOnXqpPkGCCHFysnJSe9j//nnH/z2228YOXKkxmM01Qric40Wg8sPWgJuaMyQzBxxEnbK63P9BP0WneadPXsWZ8+eBQB06NBBLYDj6frc2rJlCxYuXGjAlQsXY8ygPKc7d+5g+/btGDVqlGw6hJwnT56gZcuWwvWIDgVfRs08FdbirklJScIiiPPmzWPnz5+XXTDxwoULatuysrKE587OzrLnP3jwoHDMq1evhO38tt69e5v0fgghpdv8+fP1XsjVG2DfAOxZARaYzQfYCYAF6nlNGxsbyetevXpJXvN0nWfSpEmMMcaysrLYjBkzWEREhME/qzFjxqhd1xhPnjxhXl5ebPTo0Xq/p1KlSgZ/hsfFxQntzc/PN6appVKxLO5KDCfuIfL29tbYQyT3V5t4G9MQ7YsLocklH+qbc0UIsQz6TkwB3vQauYErEXIRhZ+ELc4NAqBWg2jjxo14/vy57uu+7o358ccfMWfOHKHnRI6mz1exdu3a6XVdOZs2bcKDBw/w/fff6/2ehw8fAtC+oK0q8fcB5YjqRgFRERMHRAqFQhIQHT9+XHguFxCJ36vpH7e4Foe4O/bSpUtYsmQJxowZY1zDCSFmqXHjxsJzTcVc5RwG0BhvqmGnw/BcI2OTsMWGDRuGDz/8UPf1Xn8e/vPPP8K2/v37IzMzU3LcyZMnUalSJfzyyy9az3f8+HHMmzfPiBZrnilnjCtXrmD48OGypWLE3wfFVTW8NKGAqIhpC4jEM8DkAiJxgKPpLxhNv2gNGjTA119/rbFHihBimRo3boy1a9fi4MGD+O677wx+P18N2wVcr5GhBR+NTcIWCw0N1X2d15+f4oK1u3btwooVKyTH9e/fH8nJyWrrOcoxtofI0dHRqPcB6p/9TZo0wYYNG2TbSz1Ehik1SdXmQjXQ0RQQaUt+BjRH+507d0bXrl3VahYRQogmI0aMEJ4rlUqjvzwPgyv4WJxJ2Lqo1ph7/Pix5LXqItmJiYl48OCBSZfrEAdEWVlZOj/vxVQDIr4X6PLly2rHagqI+vXrh3v37kmK+hIKiIqcag+R+JfPzs4OY8aMwfPnz+Hv76/1PJo+sKytrXHw4EHTNJYQYnE0fbaoBkq//fYb8vLyZGumRQN4F9wQWDC4IrRloX9wJK6EvQDAKQBfQ78CthrP+bqHSHWdRtWZXm5ubpIlnvjyJleuXNF4TkOJZ8qlp6fDzs4O6enpAORnD+tDHCjxz8X/v8TBET8cePHiRQQEBBh1PXNEQ2ZFTNu0e2trayxfvhxbtmyBQqHA77//jmbNmsmeR5+kP0IIKQgrKyvY29vj4cOHkoVYHRwc0L17d/Tq1Uvr+02dhP0AXHBlTK4R337V3nW5gEhORESE2jbx53BOTg5++OEHSY6SPtLT05GXlyeskKCaRG6ovLw8BAUFoVu3brI9ROJthbXmW2lFP40ipi2HSLWrtkuXLhgwYIBkW8eOHQFIu7gJIaQw5Obm4uXLl/D09FTrWVGlqT4QzxRJ2JXwZv00Q3ONVq5ciTt37qithaZaxVpTNX/GmNY/ROfNm4eQkBCNf8SKiZOdX716JQk2xUN44u3idsjhA7uLFy8iJiYGv//+u+Q6fECkuuYbeYN+GkVMW0Ak9w9d9R/s7t27sXfvXixdurTwGkkIIVrIDRWJA6ZWrVppfG9Bk7ABaa7RcwBrIb+4rKqqVati/Pjxkm2bNm1CUlKS8Fr8maxtkVlVP//8MwDg6dOnmDRpktZjxb00mnqENmzYAFdXV7Wp+ZoCIn62nPjccs8pINKMfhpFrKABkYuLC3r16qXzrzFCCClKVapUQfny5eHi4oI1a9YI27VN5eeTsJsCOAHjAqOyAEbgTV0jY4bUwsPDhefiz+SuXbsKz6OiorBy5UqN5xBPexcvsitH3HOTk5MjO4OYX2bqiy++0NV8QXJysiQIkushEveQUUK1FAVERUw1wBEPk+kTEBFCSHGT6yEqW7Ys/v77byQmJkqGnfRZUJtPwubXT3sO4xeX5YfUTkC/XiNA+jmsqTQJv7CuJq9evdLzavr1EBnj2bNnkiAoKytLeC43ZEa5qFL0bVvExB8kCoUCtra28PHxgaurKypXrqx2PAVEhJCixBc55PMVxfjFqHfv3q22z8HBAW5ubnBycpLUQ6tevbre1zZFEjZgeCL2w4cPERISguvXrxtUq83YgEK1h0huhpix1xQHW+KASG7IjIo1StG3bRFT/ctKoVDg33//RXJysmxRxbZt2wIwbWVTQgjRZP369di+fTt27dqltu+zzz5DVlYWunRRT2cW9wqJ/5CrXbu27HU6d+6MgQMHamyHahL2ExjXayROxL4B+eBozJgx+OGHHxAQEGCy4rWJiYkYOnQoYmNj1faJA5GtW7eq1ULSRldApKuHSDxkRgGRFAVExYgPjmxsbDQW5vL398fNmzeRnJxclE0jhFgoJycnDBw4UFLRWUzTH2figMjb2xuffvoppkyZonEae4UKFbB9+3ad7eGTsCvA+FwjgAuOauJNcPQX1GepZWZmGtTro60O0UcffYTNmzcjKCgIp0+fRmpqqrBPHLSsX78e//nPf4TXUVFRel9fjjjIEQ/jxcfHY9GiRUhJSRG25eTk4NGjR+jVqxfmzZuHrVu3FujapR0VZiwFatSoUdxNIIQQrcQTPRQKhZBYfePGDdnjjSlqqFrw8UsAXjCsGjZeH18X3Cy1DADnASwD1yslDlZ00RY8nT59GgDXM/Of//wH//nPf3Dy5EkA6j0z4j94e/fuLVvzSNXmzZvx3//+V227piEzuSHQZs2aITg4GPv378f+/fsBcIUo+ZEJ3tixY3Hz5k0cPHjQrNM4zPfOSgFjq5wSQkhJ4eTkBADo1q2bQe/r0KGD2ra6deti+vTpOt/L5xrxM9R+BLdArDFDak4A2oMLjtIBfHPkiMFrqS1btkxtm2rQc+rUKeG5rqDryJEjGvfxQdjQoUPx119/SfYpFAqNQ2aa3Lt3T/Ja9ZwAsGLFChw+fBhnz57Veb7SjAKiYkQBESGktLt58yaOHTuG999/X3a/3FIg+/fvl80fGjRoEGbMmIEdO3bo/eUbDeAzcNPvuwJIdHMzekjNCUD9x4+F4OgUdCdkv3jxQq22kS66cne0LbKrrVeKMSYJpvQJiFT//2j7XtIVyN29e9eks+aKGgVExYgCIkJIaefp6Yl27doZ9HnWo0cPjcdbW1tjwIABeOuttwxuy2EAJ7/7rkCJ2MCb4OgdvMk5+gfyBSCbN29u8Pl1BRaq1bP1FRISgh9++EF4PWvWLJ3vMVVidVhYGKpUqYL33nvPJOcrDhQQEUIIKTSalsLgiXuKxL0V/FCc2KNHj3Rez8rKSi0RexuApzAuOAK4AKka3hSAfAQgFECXS5eQIjPEJMfW1hbHjh2DQqHA5MmTjWyJduICk/rS1UOkb5I5X5LhxIkTavtGjBiB4OBg4Vy5ubmIiIhQW0aluFFAVIyoh4gQYu6qVq2qdb+mgodyybsVKlTQeT0rKyt4eHgIr6MBDALgjjfB0QsULDiqAC7v6IO4OKH36CC0r62mUChk86b0IQ5KsrKytJYrMJTckKaYvj1Ims6Tnp6O9evXY8eOHcISKZMnT0arVq0wcuRIwxpbyCggKkZUNp0QYgm09RKJ6/6ULVtWsm/jxo0GX8vKygp///237D4+OHIGl290FEAmjA+OgDe9R13BJWanArgELvASD6/pk8+jyebNmyWv+XXTTEE14FH9Q13fWXeaAiJ+jTXgzXcePztuy5YterezKFBAVAxGjRqFgIAAjUmIhBBiTmrVqqVxn/gPw/Lly0v2ubu7G3wtKysruLi46DzuMICOAMrAtMGRC4AG4MoCRAJ4BiAWunuQtPnkk08K0CrtCtpDlJeXh27duuG3336T3S8OiEo6CoiKwQ8//IDo6GiqPk0IsQh79uzR6zjVIbFy5coJz/UJcgDjet7lgqMUFCw4ArgAqRy4itt8D1IKuLpHpyCfpF3ULl26JHmtUCgQHR2NTZs2gTGms4doyZIlOHTokMb9GRkZwnM+uBKvHVeSUEBECCGkUOlaz2zkyJFo3769pGIzIA2I+KKGuvAB0dChQw1sJYcPjsrhTc7RPRQ8OAK4AMkVQDNwM9jESdrX8DpR2wTXKYjY2FgEBQXhk08+gVKpxJIlS7Qev3btWq37KSAihBBC9PTjjz8iNDRU7YtSPNNMbvFrXlhYmPCcT8Zet26dxiWR9MXnHFXGmzXVolGwpGxVfJJ2HUgLRMaC60kqyFCbMdavXy95PX/+fK3H6wpu5AIiU60XZ2oUEBFCCCmRvLy84OTkBDc3N61DZuL0A76HyMrKCv7+/iZrCz+VPwhvkrIPgJthZqrgCHhTA6kxuJ4kcbL2NRQ8H6kg8vLy8PLlS8k2QwIiPl+JeogIIYRYLH4GWf369fV+j42NDZKTk5GQkKA1N0gcEDk6OgrPdSUMF8RhAD0A1ADXezQRXO7RXZg2QALeJGvXgXo+UiyKbrht69atcHZ2RkhIiFBJXFtwc+rUKXTv3l14TUNmhBBCLF5ERASGDx+OAwcOGPQ+R0dHSZAj5unpic2bN0sCInFidps2bYRzFCZ+bbWOAKrgTYB0Elyw8gqFEyS5gguQ5IbbYgFEgBvyM5WffvoJeXl5+OGHH/D222/j1atXWuvptW7dWvK6pAdEJbNVhBBCzEqdOnWwbt06k57zwYMHUCgUiI2NFbaJp+ovWrQIVatWRa9evVCjRg29zlmzZk34+vqiW7duGDt2rFHt4gOkxaJtg8CtuWYPblHaCuCCGlMSD7fxmoNb/PYOuMAsEcBqcD1cBZWVlSU7C23Pnj2oU6eO2vZbt27h2bNnJTYgUjB963JbmLS0NLi6uiI1NVXv6Z6EEEIKl7hHgv/6io6ORlBQEABumEyu10LflQHWrVuH4cOH48yZM3jnnXf0bpe/vz9u3ryp9/GBAIYDqA0uJ6k2AAeYPkiSwwCkAfgXgBWAKwCWg0sYN8TTp0/RokULjYUw9WpLIYQgxn5/05AZIYSQUiMsLAw1atSQzCwLCAjAwIEDMXPmTI2Bz+DBgyWvNR3Hz4AypE5cYGCgkFOjr2hwPUZtAARAWgPpGgonF4knHm6TKyIZCmASAG8d58nNzdW7knVpQD1EGlAPESGEmA/GmGR9NGtra8mXOT8rLSYmBo6OjoiNjUVAQIBe527SpAmOHTsGNzc3g9rUt29f/Prrrxr3e4MLVtqBW4vNHtwyIXYoup6ke+BmuMn1It2/fx8ffvihwcGg5BrUQ0QIIYQUHYVCge+//x4AMHfuXLUZaLm5uYiPjxcSsA1ZfDsvL8+o2jpyC9iKiZO1AwDUAzesNgRcwjSfPF3QJUc0UYCrwaSpF+neqFG4U4BgqKShgIgQQohFCAkJwcOHDzFt2jSdPROGBEQVK1YslIBIk58AtAIXJMkNt8XCtMUjeeKlSNoDaHHwIBLA1WIqjiKSplYyU70JIYSQQuDp6QlAOlRz4sQJteNUAyJnZ2ekp6fLnnPt2rVGBUSmrJN0GOozx7oA+BTcrLbCGm5TvD5vtdev3wc39T8RwJPXbfrp9euSjnqICCGEWDTVejmA+iKx2nqUqlSpYlRvj7aV5K9cuSJZy80YfPFIfrjt3ebNcW7ECMTa2SEWhV9E8h0ACwEkgJv2L7egrbafQVGjgIgQQojFEa+TJqdu3brC827dukkComvXrpmkDdp6iGrXrm3yej3nzp1Dy7VrMaxOHQRAvohkYQ21VYb6grbRAHK/+Qa4f9/EVzQOBUSEEEIsztGjR1G7dm38+eefsvuVSiWysrJw9OhR7Ny5UxIQyRUdFBs9ejSePHmisw3apqxrW6qEFxgYqPMYOeJFb/nE7TbgepHE67SdR+H1IlUA13Nlt3Qp4OsLbNhg4qsYjgIiQgghFqdFixaIj49Hx44dNR5ja2uLDh06wNHRUeOQmaurq9q2/Px8lC9fXmcbtA0X6ZPUvWfPHp3HyBkxYoTW/fxQWwsUXS8SRo4s9p4iCogIIYQQA4WHh6Nx48Y4evSo2j59k6ULmlTt5+eH6GhD60sDQ4cOlbzWVT9JVy/SPzBBgJSfD9y6VdCzFAgFRIQQQogOVapUkbxu06YNYmNj0bRpU7VjVQMdTb09hgZEfn5+atsCAgJQpkwZ4XWvXr10nkc1AdyYxGZxL1INvOlFOgrgQYUKSIGBQZJSCei53lxhKVUB0apVq1ClShXY29ujWbNmiIyM1Hr8L7/8gtq1a8Pe3h7169fH4cOmWM6OEEKIpdm3bx+6dOmiV1Vm1UBn8eLFsseJE7f1ceHCBXTt2lVtuzgnaO/evQadEwA2vM7fWbBggex+fZK7xUUkDy9YgHIAmgLYBuAigKfQESCtXQv4+BjQatMrNQHRrl27MH78eMycOROxsbFo2LAhOnbsiEePHskeHxERgQEDBmDYsGGIi4tDz5490bNnT1y9erWIW04IIaS0q1WrFn7//Xe0bNlS57GqARFjTBiWqlChgrDd09MT165dQ6NGjfRqQ8WKFdG5c2e17eKASJWu5GwHBwf06dMHaWlpmDx5suwxERERerWPx9d6igYwCFwhR3dwAdKP4HKRYl/vP9G8OZCQAAwbZtA1CkOpCYiWLl2KESNGYOjQoahbty7WrFkDR0dHbNy4Ufb4FStWoFOnTpgwYQLq1KmDuXPnokmTJkLpdkIIIaQwyA2FhYeHo1evXggPD5ccV6dOHXh5ecmex0elx0SpVMomd2sKiPr27Ytx48YBUB9Kq1WrFgAgODgYAFd4EgB++OEHtfPo6slSHX1xd3eXPU51QdsgAHuDgoq9Z4hXKgKi7OxsxMTEoH379sI2pVKJ9u3b49y5c7LvOXfunOR4AOjYsaPG47OyspCWliZ5EEIIIYaSyyFq0KAB9u7di3r16gnb+Z4UTTlGX331lV7Xs7e3l92uUCiwYMEChIWFYfv27ZJ9YWFhWLx4MWbNmiXZLu7BAoDevXtLcpTktG3bVvK6YsWKGDx4sF5DbZqqfxeHUhEQPXnyBHl5efDw8JBs9/DwQFJSkux7kpKSDDp+4cKFcHV1FR6+vr6maTwhhBCLIg56APUq1/v27cMXX3yBQYMGAdC8ptnAgQMxe/ZsrecCNPfgKJVK2NjYoG3btnBwcJDs8/b2xoQJE+Dt7S3ZrhqcTZs2Te281atXl7xW7aGysrLCli1bsGvXLtl2iZWkzodSERAVhcmTJyM1NVV4JCQkFHeTCCGElCKRkZGYPXs2xowZo/W4nj17YuXKlUIPiqYeIoVCgSlTpiAoKAj9+/cHALU/9AFumGvAgAFqa7IZu3ismK2trdq2qKgotW3iYTM+b0mf4pIlqYeoVCzu6u7uDisrKyQnJ0u2JycnC12Oqjw9PQ063s7OTmtiGiGEEKJNUFAQgoKC1Lbr+m7RVoTR2tpaMqO6T58+GDt2LJo3by5s8/DwwI4dO9Tea0xApNoDJdd2uWKUHTp0EJ5XrFgRgH4BEfUQGcjW1hYBAQEICwsTtuXn5yMsLAwtWrSQfU+LFi0kxwNAaGioxuMJIYQQU5o7dy5atGiBYTpmUIkDorp162LixIkaj1UqlVi2bBk+/PBDndfXJyDRRS4gkgu0rK2tkZKSgufPnwu9Srqu37t3b3z99dcFbqOplIoeIgAYP348hgwZgsDAQDRt2hTLly9HRkaGUHFz8ODB8Pb2xsKFCwEAY8aMQevWrfG///0P77//Pnbu3Ino6GisXbu2OG+DEEKIhZg2bZpsDo4qcYDx119/mez6+iz/oes9uhKqxVR7jnQFRFOnTkWTJk30b1whKzUB0YcffojHjx9jxowZSEpKQqNGjfDnn38K46n37t2T/KNq2bIlduzYgWnTpmHKlCnw9/fH/v378dZbbxXXLRBCCCFqjAlc9GGKHCJHR0fZ7QMGDMDPP/8s5DbJ0RUQaZodV1xKTUAEcCsIjx49WnafajIZAHzwwQf44IMPCrlVhBBCiPE+/vhj7NmzB40bNzbpeQsrhwgA1q1bh379+klyh1Tl5ORovZbqzLfiVipyiAghhBBz1bVrV1y9elWvZUEMYYoeIr73SrWGX5kyZdCzZ0+tQ2pPnjwRnv/zzz9q+6mHiBBCCCESqrWLTMGYgEjT8F3z5s0RGRmpsQq1HL76NQBUq1ZNbX9J6yGigIgQQggxQ6boIRKTKymgTdeuXTFx4kSN679RQEQIIYSQQufn51es17eyssK3336rcb9c0cfiRAERIYQQYkYOHjyIAwcOYOzYsQU6z8qVK03UInmFNbvOWBQQEUIIIWaka9eu6Nq1a4HP88UXX5igNfJK4vJYNMuMEEIIIQBg8qn/cipVqgQfH59Cv46hKCAihBBCCABuNlhMTAzu3btn8nPv2bMH1atXx4EDB0x+blNQMNUqTAQAt+Ccq6srUlNT4eLiUtzNIYQQQogejP3+ph4iQgghhFg8CogIIYQQYvEoICKEEEKIxaOAiBBCCCEWjwIiQgghhFg8CogIIYQQYvEoICKEEEKIxaOAiBBCCCEWjwIiQgghhFg8CogIIYQQYvEoICKEEEKIxaOAiBBCCCEWjwIiQgghhFg8CogIIYQQYvGsi7sBJRVjDACQlpZWzC0hhBBCiL74723+e1xfFBBpkJ6eDgDw9fUt5pYQQgghxFDp6elwdXXV+3gFMzSEshD5+fl48OABnJ2doVAoTHrutLQ0+Pr6IiEhAS4uLiY9d0lE92ve6H7Nm6XdL2B592xu98sYQ3p6Ory8vKBU6p8ZRD1EGiiVSvj4+BTqNVxcXMziH5++6H7NG92vebO0+wUs757N6X4N6RniUVI1IYQQQiweBUSEEEIIsXhWs2bNmlXcjbBEVlZWaNOmDaytLWPUku7XvNH9mjdLu1/A8u7Z0u5XDiVVE0IIIcTi0ZAZIYQQQiweBUSEEEIIsXgUEBFCCCHE4lFARAghhBCLRwFREVu1ahWqVKkCe3t7NGvWDJGRkcXdJJNYuHAhgoKC4OzsjIoVK6Jnz564ceOG5JhXr14hJCQE5cuXh5OTE/r06YPk5ORiarFpffvtt1AoFBg7dqywzdzuNzExER999BHKly8PBwcH1K9fH9HR0cJ+xhhmzJiBSpUqwcHBAe3bt8fNmzeLscXGy8vLw/Tp01G1alU4ODigevXqmDt3rmRtpNJ+v6dOnUK3bt3g5eUFhUKB/fv3S/brc3/Pnj1DcHAwXFxcULZsWQwbNgwvXrwoytvQm7b7zcnJwcSJE1G/fn2UKVMGXl5eGDx4MB48eCA5h7ncr6rPPvsMCoUCy5cvl2wvTfdrChQQFaFdu3Zh/PjxmDlzJmJjY9GwYUN07NgRjx49Ku6mFdjJkycREhKC8+fPIzQ0FDk5OXjvvfeQkZEhHDNu3DgcPHgQv/zyC06ePIkHDx6gd+/exdhq04iKisKPP/6IBg0aSLab0/0+f/4crVq1go2NDf744w9cu3YN//vf/1CuXDnhmMWLF2PlypVYs2YNLly4gDJlyqBjx4549epVMbbcOIsWLcLq1avx/fffIz4+HosWLcLixYvx3XffCceU9vvNyMhAw4YNsWrVKtn9+txfcHAw/vrrL4SGhuLQoUM4deoURo4cWVS3YBBt95uZmYnY2FhMnz4dsbGx2Lt3L27cuIHu3btLjjOX+xXbt28fzp8/Dy8vL7V9pel+TYKRItO0aVMWEhIivM7Ly2NeXl5s4cKFxdiqwvHo0SMGgJ08eZIxxlhKSgqzsbFhv/zyi3BMfHw8A8DOnTtXXM0ssPT0dObv789CQ0NZ69at2ZgxYxhj5ne/EydOZG884uTEAAARl0lEQVS//bbG/fn5+czT05MtWbJE2JaSksLs7OzYzz//XBRNNKn333+fffLJJ5JtvXv3ZsHBwYwx87tfAGzfvn3Ca33u79q1awwAi4qKEo75448/mEKhYImJiUXXeCOo3q+cyMhIBoDdvXuXMWae93v//n3m7e3Nrl69yipXrsyWLVsm7CvN92ss6iEqItnZ2YiJiUH79u2FbUqlEu3bt8e5c+eKsWWFIzU1FQDg5uYGAIiJiUFOTo7k/mvXrg0/P79Sff8hISF4//33JfcFmN/9HjhwAIGBgfjggw9QsWJFNG7cGOvWrRP23759G0lJSZL7dXV1RbNmzUrl/bZs2RJhYWH4+++/AQCXLl3CmTNn0LlzZwDmd7+q9Lm/c+fOoWzZsggMDBSOad++PZRKJS5cuFDkbTa11NRUKBQKlC1bFoD53W9+fj4GDRqECRMmoF69emr7ze1+9WG5JSmL2JMnT5CXlwcPDw/Jdg8PD1y/fr2YWlU48vPzMXbsWLRq1QpvvfUWACApKQm2trbChwvPw8MDSUlJxdHMAtu5cydiY2MRFRWlts/c7vfff//F6tWrMX78eEyZMgVRUVH48ssvYWtriyFDhgj3JPfvuzTe76RJk5CWlobatWvDysoKeXl5mD9/PoKDgwHA7O5XlT73l5SUhIoVK0r2W1tbw83NrdT/DF69eoWJEydiwIABwmKn5na/ixYtgrW1Nb788kvZ/eZ2v/qggIiYXEhICK5evYozZ84Ud1MKTUJCAsaMGYPQ0FDY29sXd3MKXX5+PgIDA7FgwQIAQOPGjXH16lWsWbMGQ4YMKebWmd7u3buxfft27NixA/Xq1cPFixcxduxYeHl5meX9kjdycnLQr18/MMawevXq4m5OoYiJicGKFSsQGxsLhUJR3M0pMWjIrIi4u7vDyspKbZZRcnIyPD09i6lVpjd69GgcOnQI4eHh8PHxEbZ7enoiOzsbKSkpkuNL6/3HxMTg0aNHaNKkCaytrWFtbY2TJ09i5cqVsLa2hoeHh1ndb6VKlVC3bl3Jtjp16uDevXsAINyTufz7njBhAiZNmoT+/fujfv36GDRoEMaNG4eFCxcCML/7VaXP/Xl6eqpNCMnNzcWzZ89K7c+AD4bu3r2L0NBQoXcIMK/7PX36NB49egQ/Pz/h8+vu3bv46quvUKVKFQDmdb/6ooCoiNja2iIgIABhYWHCtvz8fISFhaFFixbF2DLTYIxh9OjR2LdvH44fP46qVatK9gcEBMDGxkZy/zdu3MC9e/dK5f23a9cOV65cwcWLF4VHYGAggoODhefmdL+tWrVSK6Pw999/o3LlygCAqlWrwtPTU3K/aWlpuHDhQqm838zMTCiV0o9HKysr5OfnAzC/+1Wlz/21aNECKSkpiImJEY45fvw48vPz0axZsyJvc0HxwdDNmzdx7NgxlC9fXrLfnO530KBBuHz5suTzy8vLCxMmTMCRI0cAmNf96q24s7otyc6dO5mdnR3bvHkzu3btGhs5ciQrW7YsS0pKKu6mFdioUaOYq6srO3HiBHv48KHwyMzMFI757LPPmJ+fHzt+/DiLjo5mLVq0YC1atCjGVpuWeJYZY+Z1v5GRkcza2prNnz+f3bx5k23fvp05Ojqybdu2Ccd8++23rGzZsuy3335jly9fZj169GBVq1ZlL1++LMaWG2fIkCHM29ubHTp0iN2+fZvt3buXubu7s2+++UY4prTfb3p6OouLi2NxcXEMAFu6dCmLi4sTZlXpc3+dOnVijRs3ZhcuXGBnzpxh/v7+bMCAAcV1S1ppu9/s7GzWvXt35uPjwy5evCj5DMvKyhLOYS73K0d1lhljpet+TYECoiL23XffMT8/P2Zra8uaNm3Kzp8/X9xNMgkAso9NmzYJx7x8+ZJ9/vnnrFy5cszR0ZH16tWLPXz4sPgabWKqAZG53e/BgwfZW2+9xezs7Fjt2rXZ2rVrJfvz8/PZ9OnTmYeHB7Ozs2Pt2rVjN27cKKbWFkxaWhobM2YM8/PzY/b29qxatWps6tSpki/H0n6/4eHhsr+zQ4YMYYzpd39Pnz5lAwYMYE5OTszFxYUNHTqUpaenF8Pd6Kbtfm/fvq3xMyw8PFw4h7ncrxy5gKg03a8pKBgTlV4lhBBCCLFAlENECCGEEItHAREhhBBCLB4FRIQQQgixeBQQEUIIIcTiUUBECCGEEItHAREhhBBCLB4FRIQQQgixeBQQEUIKzZ07d6BQKKBQKHDnzh2jzrF582YoFAphjSVCCCkMFBARUsrMmjVLCDLED3t7e/j4+KB79+7YvXs3SnrN1Tt37mDWrFmYNWtWcTeFEEJgXdwNIIQYz8PDQ3iempqKxMREJCYm4uDBg9i8eTP27dsHOzu7YmufjY0NatWqJTwXu3PnDmbPng0AWoMiV1dX1KpVC97e3oXWTkIIoR4iQkqxpKQk4ZGRkYGrV6+iQ4cOAIA//vgD06ZNK9b2eXt74/r167h+/brRAU2vXr1w/fp1ycrrhBBiahQQEWImlEol6tWrhwMHDqBGjRoAgB9//BG5ubnF3DJCCCn5KCAixMzY29vjgw8+AACkp6fj+vXrasfExcVh8ODBqFy5Muzt7VGuXDm0bNkSy5cvR1ZWlsZzX79+HSNHjkTNmjXh6OgIe3t7+Pr6onnz5pgyZYratTQlVVepUgXvvvuu8Fo1H+rjjz8W9umTVP3PP/9g1KhR8Pf3h4ODA1xcXNCkSRPMmTMHaWlpsu85ceKEcD0AuHXrFj755BP4+vrCzs4OPj4+GDFiBBITEzVetyDy8/MRFhaGL7/8Es2bN4ePjw9sbW1Rvnx5tG7dGmvWrEFOTk6hXFv13jXhjzlx4kShtIOQkoRyiAgxQz4+PsJz1YBg2bJl+Oqrr4Ska1dXV2RkZODcuXM4d+4cNm3ahD///BOVKlWSvC80NBTdunUTAiYbGxuUKVMG9+/fx/3793HhwgXY2trqlSRdoUIFpKWl4fnz5wCkuVB8m/S1e/duDB48WGiXs7MzsrOzERcXh7i4OKxfvx5HjhxBnTp1NJ4jPDwc3bt3x4sXL+Ds7Iz8/HwkJiZi/fr1OHz4MCIjI02ew3Tv3j20b99eeO3k5ARHR0c8e/YMp06dwqlTp7Bjxw4cOXIEDg4OJr02IUQd9RARYobEvTFubm7C80OHDmH8+PFgjKFHjx74999/kZKSghcvXmDr1q1wdnbG5cuX0bdvX+Tl5UnOOWrUKGRlZeG9997DlStXkJ2djefPn+Ply5e4evUqZs+erffU+KioKOzdu1d4Lc6FSkpKwooVK/Q6T2xsLD766CNkZWWhVatWuHz5MtLS0pCZmYkDBw6gUqVKSEhIQLdu3fDixQuN5+nTpw/atm2L+Ph4pKWlISMjA7t27YKzszMePHiAyZMn69UeQ1hbWyM4OBgHDhzA06dPkZ6ejpSUFKSnp2PTpk3w8vLC6dOnMXXqVJNfmxAigxFCSpWZM2cyAEzTr29qairz8vJiAJibmxvLy8sT9tWpU4cBYO+88w7Lzc1Ve++BAweEc//yyy/C9uTkZGH7gwcP9G7r7du3hffdvn1bsi88PFzrffA2bdrEALDKlSur7evUqRMDwGrUqMEyMjLU9sfGxjJra2sGgC1ZskTj9d99913Jz4m3cuVKBoA5ODiwnJwc3TdsQlFRUQwAK1OmDHv58qVJz63vz54/Jjw83KTXJ6Qkoh4iQsxESkoKwsLC0LZtWzx48AAAMGbMGCiV3K/55cuXER8fDwCYNm0arKys1M7RrVs3NG3aFADw888/C9udnZ2F8zx8+LBQ70NfKSkpOHLkCABgwoQJcHR0VDumcePG6N27NwDp/aiaMmWKcH9iPXr0AAC8fPkSN2/eNEWz9RYYGIiKFSsiIyMDFy9eLNJrE2KJKCAipBQTJyKXK1cO7du3R0xMDADgo48+kgy3REdHA+CGalq3bq3xnPy0ff54AHBwcEC7du0AAJ06dcKMGTNw4cIFZGdnm/ye9BUbGyvkQYlzcVTx93P58mWNScrNmjWT3e7l5SU8f/bsmbFN1Sg7Oxtr1qzBe++9By8vL9jZ2Un+nz569AgAcP/+fZNfmxAiRUnVhJRi4mRkOzs7uLu7o3HjxggODpbM4gIgfLm6u7trLdbIJ2Tzx/PWr1+P7t2749KlS5g7dy7mzp0LW1tbBAUFoUePHhg2bJgkX6mwidunLeGZv5/c3Fw8e/ZMLYEb4HrA5Fhbv/mINPWMr0ePHqF9+/a4cuWKsM3e3h7u7u5C793jx4+Rn5+PjIwMk16bEKKOAiJCSrGkpKQiu5afnx9iY2MRGhqKw4cP4+zZs7h06RLOnj2Ls2fPYuHChfj111/Rtm3bImtTaTZu3DhcuXIF5cuXx5IlS9C5c2d4enpKjvH19cX9+/dL/DIshJgDGjIjxEJUrFgRAPDkyROttYb44Rn+eDGlUomOHTtixYoViI6OxrNnz7B9+3b4+fnh+fPnGDhwYJENo4nbp21Iid9nbW1dpD1Y2uTk5Aiz7L7//nsMHTpULRjKy8vDkydPCuX64p6vV69eyR6TmppaKNcmpKSigIgQCxEYGAiAGzo6efKkxuOOHTsGAAgKCtJ5TmdnZwwcOBAbNmwAACQnJ0uGgLQRJzEb0wPSpEkT4RzalvXg76dhw4Zq66kVl8ePHwuBSOPGjWWPOXPmjMZgpaDKlSsnPE9ISJA95sKFC4VybUJKKgqICLEQDRo0QN26dQEA8+bNU6szBACHDx8WvggHDBggbNfV6yMuHCg3W0uOi4uL8DwlJUWv94iVLVsWHTt2BAAsWbIEmZmZasdcunQJe/bsASC9n+Lm4uIiVIm+dOmS2v7c3NxCrT9Us2ZN4f8Z//MRy8/Px8KFCwvt+oSURBQQEWJBFi1aBAA4ffo0+vbti9u3bwPghnC2b98uBA0tW7ZEz549hfdFRESgQYMGWLZsGeLj45Gfnw+A69mJiIjAqFGjAHAJzA0aNNCrLTVr1oStrS0ALmHbmF6iefPmwcbGBrdu3ULHjh2F3qn8/HwcPnwYXbp0QW5uLqpXr45PP/3U4PPr0qZNG53LishxcnJCq1atAADjx4/H8ePHhZ/p1atX0aVLF0RHR6NMmTImvzbAVRnv06cPAGDBggXYvXu3EPTeuHEDvXr1wuXLl7Weo0qVKlAoFGjTpo3B1yekRCrWKkiEEIPpKsyoy9KlS5lCoRDOUbZsWWZrayu8rl+/PktMTJS8R1zIDwCzsbFh5cuXF4oeAmAuLi7s1KlTkvdpK8zIGGPDhg0T9js6OjI/Pz9WuXJl9tVXXwnHaCvMyBhjO3fulLTfxcWF2dvbC699fX3ZtWvX1N5niuKErVu31to2baKjo1mZMmWE89vZ2TFnZ2cGgFlbW7OtW7eyypUrMwBs06ZNJr02Y4wlJCQIBTz5/6cuLi4MAHN2dmYnTpzQeu9821q3bm3U9QkpaaiHiBALM27cOERHR+Ojjz6Cr68vMjMz4eDggObNm2PZsmWIioqS1N8BuHyi3bt3Y9SoUQgICIC7uzvS0tJgb2+PRo0a4ZtvvkF8fDzeeecdg9qyatUqzJo1C/Xr1wfAre919+5dg5KJP/zwQ/z111/49NNPUb16dWRlZcHa2hqNGjXC7NmzcfXqVa3rmBUEv/Br8+bNDX5vQEAAIiMj0a9fP7i7uyM/Px/Ozs7o168fIiIiMGjQIFM3V8LHxwcXLlzA8OHDhbIFTk5OGDx4MGJjY7XWqiLEHCkYo/mchBBiqPv378PX1xdWVla4du0aatasWdxNIoQUAPUQEUKIEY4fPw4AGDJkCAVDhJgBCogIIcQI4eHhsLOzw8yZM4u7KYQQE6AhM0IIIYRYPOohIoQQQojFo4CIEEIIIRaPAiJCCCGEWDwKiAghhBBi8SggIoQQQojFo4CIEEIIIRaPAiJCCCGEWDwKiAghhBBi8SggIoQQQojFo4CIEEIIIRaPAiJCCCGEWLz/A2LEIl4yChi3AAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x33a5b6dd0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x33a73a5d0>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_calc1, bas1 = baseline(x,y,roi,\"gcvspline\",p=1.0)\n",
    "y_calc1, bas1 = baseline(x,y,roi,\"GCVSplineNSmooth\",p=1.0)\n",
    "GCVSplineNSmooth\n",
    "figure()\n",
    "plot(x,y,\"k-\",label=\"Noisy observed signal\")\n",
    "plot(x,bas1,\"r.\",label=\"ROI\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.5.2",
   "language": "julia",
   "name": "julia-0.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
